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Finding the Fourth Proportional to 101.76, 140.67 and 87.18

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Solution

The fourth proportional to 101.76, 140.67 and 87.18 is: 120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.76 : 140.67 = 87.18 : x
  2. Step 2: Convert to fraction form
    101.76/140.67 = 87.18/x
  3. Step 3: Cross multiply
    101.76x = 140.67 × 87.18
  4. Step 4: Simplify right side
    101.76x = 12,263.61
  5. Step 5: Solve for x
    x = 12,263.61/101.76
  6. Step 6: Final answer
    x = 120.52

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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.