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Finding the Fourth Proportional to 123.66, 171 and 97.74

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Solution

The fourth proportional to 123.66, 171 and 97.74 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 171 = 97.74 : x
  2. Step 2: Convert to fraction form
    123.66/171 = 97.74/x
  3. Step 3: Cross multiply
    123.66x = 171 × 97.74
  4. Step 4: Simplify right side
    123.66x = 16,713.54
  5. Step 5: Solve for x
    x = 16,713.54/123.66
  6. Step 6: Final answer
    x = 135.16

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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.