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Finding the Fourth Proportional to 147.60, 221.14 and 70.45

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Solution

The fourth proportional to 147.60, 221.14 and 70.45 is: 105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 221.14 = 70.45 : x
  2. Step 2: Convert to fraction form
    147.60/221.14 = 70.45/x
  3. Step 3: Cross multiply
    147.60x = 221.14 × 70.45
  4. Step 4: Simplify right side
    147.60x = 15,579.31
  5. Step 5: Solve for x
    x = 15,579.31/147.60
  6. Step 6: Final answer
    x = 105.55

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