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Finding the Fourth Proportional to 123.65, 170.45 and 84.77

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Solution

The fourth proportional to 123.65, 170.45 and 84.77 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.65 : 170.45 = 84.77 : x
  2. Step 2: Convert to fraction form
    123.65/170.45 = 84.77/x
  3. Step 3: Cross multiply
    123.65x = 170.45 × 84.77
  4. Step 4: Simplify right side
    123.65x = 14,448.62
  5. Step 5: Solve for x
    x = 14,448.62/123.65
  6. Step 6: Final answer
    x = 116.85

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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.