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Finding the Fourth Proportional to 115, 158.69 and 65.87

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Solution

The fourth proportional to 115, 158.69 and 65.87 is: 90.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115 : 158.69 = 65.87 : x
  2. Step 2: Convert to fraction form
    115/158.69 = 65.87/x
  3. Step 3: Cross multiply
    115x = 158.69 × 65.87
  4. Step 4: Simplify right side
    115x = 10,452.91
  5. Step 5: Solve for x
    x = 10,452.91/115
  6. Step 6: Final answer
    x = 90.89

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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.