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Finding the Fourth Proportional to 123.68, 170.66 and 71.22

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Solution

The fourth proportional to 123.68, 170.66 and 71.22 is: 98.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 170.66 = 71.22 : x
  2. Step 2: Convert to fraction form
    123.68/170.66 = 71.22/x
  3. Step 3: Cross multiply
    123.68x = 170.66 × 71.22
  4. Step 4: Simplify right side
    123.68x = 12,154.41
  5. Step 5: Solve for x
    x = 12,154.41/123.68
  6. Step 6: Final answer
    x = 98.27

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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.