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Finding the Fourth Proportional to 72.59, 108.38 and 55.38

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Solution

The fourth proportional to 72.59, 108.38 and 55.38 is: 82.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.59 : 108.38 = 55.38 : x
  2. Step 2: Convert to fraction form
    72.59/108.38 = 55.38/x
  3. Step 3: Cross multiply
    72.59x = 108.38 × 55.38
  4. Step 4: Simplify right side
    72.59x = 6,001.81
  5. Step 5: Solve for x
    x = 6,001.81/72.59
  6. Step 6: Final answer
    x = 82.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.