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Finding the Fourth Proportional to 42.79, 59.02 and 29.65

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Solution

The fourth proportional to 42.79, 59.02 and 29.65 is: 40.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.79 : 59.02 = 29.65 : x
  2. Step 2: Convert to fraction form
    42.79/59.02 = 29.65/x
  3. Step 3: Cross multiply
    42.79x = 59.02 × 29.65
  4. Step 4: Simplify right side
    42.79x = 1,749.94
  5. Step 5: Solve for x
    x = 1,749.94/42.79
  6. Step 6: Final answer
    x = 40.90

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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.