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Finding the Fourth Proportional to 115.27, 159.14 and 89.47

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Solution

The fourth proportional to 115.27, 159.14 and 89.47 is: 123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.27 : 159.14 = 89.47 : x
  2. Step 2: Convert to fraction form
    115.27/159.14 = 89.47/x
  3. Step 3: Cross multiply
    115.27x = 159.14 × 89.47
  4. Step 4: Simplify right side
    115.27x = 14,238.26
  5. Step 5: Solve for x
    x = 14,238.26/115.27
  6. Step 6: Final answer
    x = 123.52

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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.