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Finding the Fourth Proportional to 123.85, 171.08 and 95.10

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Solution

The fourth proportional to 123.85, 171.08 and 95.10 is: 131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.85 : 171.08 = 95.10 : x
  2. Step 2: Convert to fraction form
    123.85/171.08 = 95.10/x
  3. Step 3: Cross multiply
    123.85x = 171.08 × 95.10
  4. Step 4: Simplify right side
    123.85x = 16,269.71
  5. Step 5: Solve for x
    x = 16,269.71/123.85
  6. Step 6: Final answer
    x = 131.37

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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.