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Finding the Fourth Proportional to 102.86, 141.97 and 71.74

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Solution

The fourth proportional to 102.86, 141.97 and 71.74 is: 99.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 141.97 = 71.74 : x
  2. Step 2: Convert to fraction form
    102.86/141.97 = 71.74/x
  3. Step 3: Cross multiply
    102.86x = 141.97 × 71.74
  4. Step 4: Simplify right side
    102.86x = 10,184.93
  5. Step 5: Solve for x
    x = 10,184.93/102.86
  6. Step 6: Final answer
    x = 99.02

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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.