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Finding the Fourth Proportional to 101.58, 140.24 and 77.15

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Solution

The fourth proportional to 101.58, 140.24 and 77.15 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.58 : 140.24 = 77.15 : x
  2. Step 2: Convert to fraction form
    101.58/140.24 = 77.15/x
  3. Step 3: Cross multiply
    101.58x = 140.24 × 77.15
  4. Step 4: Simplify right side
    101.58x = 10,818.43
  5. Step 5: Solve for x
    x = 10,818.43/101.58
  6. Step 6: Final answer
    x = 106.50

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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.