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Finding the Fourth Proportional to 123.95, 171.16 and 105.52

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Solution

The fourth proportional to 123.95, 171.16 and 105.52 is: 145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.95 : 171.16 = 105.52 : x
  2. Step 2: Convert to fraction form
    123.95/171.16 = 105.52/x
  3. Step 3: Cross multiply
    123.95x = 171.16 × 105.52
  4. Step 4: Simplify right side
    123.95x = 18,060.80
  5. Step 5: Solve for x
    x = 18,060.80/123.95
  6. Step 6: Final answer
    x = 145.72

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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.