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Finding the Fourth Proportional to 90.17, 124.42 and 50.82

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Solution

The fourth proportional to 90.17, 124.42 and 50.82 is: 70.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.17 : 124.42 = 50.82 : x
  2. Step 2: Convert to fraction form
    90.17/124.42 = 50.82/x
  3. Step 3: Cross multiply
    90.17x = 124.42 × 50.82
  4. Step 4: Simplify right side
    90.17x = 6,323.02
  5. Step 5: Solve for x
    x = 6,323.02/90.17
  6. Step 6: Final answer
    x = 70.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.