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Finding the Fourth Proportional to 90.66, 124.35 and 89.31

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Solution

The fourth proportional to 90.66, 124.35 and 89.31 is: 122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.66 : 124.35 = 89.31 : x
  2. Step 2: Convert to fraction form
    90.66/124.35 = 89.31/x
  3. Step 3: Cross multiply
    90.66x = 124.35 × 89.31
  4. Step 4: Simplify right side
    90.66x = 11,105.70
  5. Step 5: Solve for x
    x = 11,105.70/90.66
  6. Step 6: Final answer
    x = 122.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.