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Finding the Fourth Proportional to 106.70, 147.24 and 77.60

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Solution

The fourth proportional to 106.70, 147.24 and 77.60 is: 107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.70 : 147.24 = 77.60 : x
  2. Step 2: Convert to fraction form
    106.70/147.24 = 77.60/x
  3. Step 3: Cross multiply
    106.70x = 147.24 × 77.60
  4. Step 4: Simplify right side
    106.70x = 11,425.09
  5. Step 5: Solve for x
    x = 11,425.09/106.70
  6. Step 6: Final answer
    x = 107.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.