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Finding the Fourth Proportional to 90.39, 124.77 and 64.47

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Solution

The fourth proportional to 90.39, 124.77 and 64.47 is: 88.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.39 : 124.77 = 64.47 : x
  2. Step 2: Convert to fraction form
    90.39/124.77 = 64.47/x
  3. Step 3: Cross multiply
    90.39x = 124.77 × 64.47
  4. Step 4: Simplify right side
    90.39x = 8,043.92
  5. Step 5: Solve for x
    x = 8,043.92/90.39
  6. Step 6: Final answer
    x = 88.99

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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.