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Finding the Fourth Proportional to 29.60, 42.04 and 29.60

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Solution

The fourth proportional to 29.60, 42.04 and 29.60 is: 42.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.60 : 42.04 = 29.60 : x
  2. Step 2: Convert to fraction form
    29.60/42.04 = 29.60/x
  3. Step 3: Cross multiply
    29.60x = 42.04 × 29.60
  4. Step 4: Simplify right side
    29.60x = 1,244.38
  5. Step 5: Solve for x
    x = 1,244.38/29.60
  6. Step 6: Final answer
    x = 42.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.