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Finding the Fourth Proportional to 90.13, 124.47 and 71.84

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Solution

The fourth proportional to 90.13, 124.47 and 71.84 is: 99.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.13 : 124.47 = 71.84 : x
  2. Step 2: Convert to fraction form
    90.13/124.47 = 71.84/x
  3. Step 3: Cross multiply
    90.13x = 124.47 × 71.84
  4. Step 4: Simplify right side
    90.13x = 8,941.92
  5. Step 5: Solve for x
    x = 8,941.92/90.13
  6. Step 6: Final answer
    x = 99.21

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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.