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Finding the Fourth Proportional to 123.69, 170.68 and 71.24

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Solution

The fourth proportional to 123.69, 170.68 and 71.24 is: 98.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.69 : 170.68 = 71.24 : x
  2. Step 2: Convert to fraction form
    123.69/170.68 = 71.24/x
  3. Step 3: Cross multiply
    123.69x = 170.68 × 71.24
  4. Step 4: Simplify right side
    123.69x = 12,159.49
  5. Step 5: Solve for x
    x = 12,159.49/123.69
  6. Step 6: Final answer
    x = 98.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.