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Finding the Fourth Proportional to 90.29, 124.54 and 72.79

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Solution

The fourth proportional to 90.29, 124.54 and 72.79 is: 100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.29 : 124.54 = 72.79 : x
  2. Step 2: Convert to fraction form
    90.29/124.54 = 72.79/x
  3. Step 3: Cross multiply
    90.29x = 124.54 × 72.79
  4. Step 4: Simplify right side
    90.29x = 9,064.77
  5. Step 5: Solve for x
    x = 9,064.77/90.29
  6. Step 6: Final answer
    x = 100.39

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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.