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Finding the Fourth Proportional to 72.52, 108.90 and 71.08

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Solution

The fourth proportional to 72.52, 108.90 and 71.08 is: 106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.52 : 108.90 = 71.08 : x
  2. Step 2: Convert to fraction form
    72.52/108.90 = 71.08/x
  3. Step 3: Cross multiply
    72.52x = 108.90 × 71.08
  4. Step 4: Simplify right side
    72.52x = 7,740.61
  5. Step 5: Solve for x
    x = 7,740.61/72.52
  6. Step 6: Final answer
    x = 106.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.