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Finding the Fourth Proportional to 123.65, 170.60 and 77.04

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Solution

The fourth proportional to 123.65, 170.60 and 77.04 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.65 : 170.60 = 77.04 : x
  2. Step 2: Convert to fraction form
    123.65/170.60 = 77.04/x
  3. Step 3: Cross multiply
    123.65x = 170.60 × 77.04
  4. Step 4: Simplify right side
    123.65x = 13,142.64
  5. Step 5: Solve for x
    x = 13,142.64/123.65
  6. Step 6: Final answer
    x = 106.29

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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.