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Finding the Fourth Proportional to 109.57, 151.07 and 89.83

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Solution

The fourth proportional to 109.57, 151.07 and 89.83 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.57 : 151.07 = 89.83 : x
  2. Step 2: Convert to fraction form
    109.57/151.07 = 89.83/x
  3. Step 3: Cross multiply
    109.57x = 151.07 × 89.83
  4. Step 4: Simplify right side
    109.57x = 13,569.41
  5. Step 5: Solve for x
    x = 13,569.41/109.57
  6. Step 6: Final answer
    x = 123.84

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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.