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Finding the Fourth Proportional to 123.62, 170.74 and 84.74

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Solution

The fourth proportional to 123.62, 170.74 and 84.74 is: 117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.62 : 170.74 = 84.74 : x
  2. Step 2: Convert to fraction form
    123.62/170.74 = 84.74/x
  3. Step 3: Cross multiply
    123.62x = 170.74 × 84.74
  4. Step 4: Simplify right side
    123.62x = 14,468.51
  5. Step 5: Solve for x
    x = 14,468.51/123.62
  6. Step 6: Final answer
    x = 117.04

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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.