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Finding the Fourth Proportional to 175.55, 242.16 and 101.86

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Solution

The fourth proportional to 175.55, 242.16 and 101.86 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.55 : 242.16 = 101.86 : x
  2. Step 2: Convert to fraction form
    175.55/242.16 = 101.86/x
  3. Step 3: Cross multiply
    175.55x = 242.16 × 101.86
  4. Step 4: Simplify right side
    175.55x = 24,664.70
  5. Step 5: Solve for x
    x = 24,664.70/175.55
  6. Step 6: Final answer
    x = 140.50

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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.