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Finding the Fourth Proportional to 147.60, 221.00 and 106.70

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Solution

The fourth proportional to 147.60, 221.00 and 106.70 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 221.00 = 106.70 : x
  2. Step 2: Convert to fraction form
    147.60/221.00 = 106.70/x
  3. Step 3: Cross multiply
    147.60x = 221.00 × 106.70
  4. Step 4: Simplify right side
    147.60x = 23,579.06
  5. Step 5: Solve for x
    x = 23,579.06/147.60
  6. Step 6: Final answer
    x = 159.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.