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Finding the Fourth Proportional to 90.39, 124.56 and 65.78

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Solution

The fourth proportional to 90.39, 124.56 and 65.78 is: 90.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.39 : 124.56 = 65.78 : x
  2. Step 2: Convert to fraction form
    90.39/124.56 = 65.78/x
  3. Step 3: Cross multiply
    90.39x = 124.56 × 65.78
  4. Step 4: Simplify right side
    90.39x = 8,193.56
  5. Step 5: Solve for x
    x = 8,193.56/90.39
  6. Step 6: Final answer
    x = 90.65

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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.