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Finding the Fourth Proportional to 72.71, 100.40 and 67.47

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Solution

The fourth proportional to 72.71, 100.40 and 67.47 is: 93.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.71 : 100.40 = 67.47 : x
  2. Step 2: Convert to fraction form
    72.71/100.40 = 67.47/x
  3. Step 3: Cross multiply
    72.71x = 100.40 × 67.47
  4. Step 4: Simplify right side
    72.71x = 6,774.16
  5. Step 5: Solve for x
    x = 6,774.16/72.71
  6. Step 6: Final answer
    x = 93.17

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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.