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Finding the Fourth Proportional to 39.65, 54.65 and 29.93

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Solution

The fourth proportional to 39.65, 54.65 and 29.93 is: 41.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.65 : 54.65 = 29.93 : x
  2. Step 2: Convert to fraction form
    39.65/54.65 = 29.93/x
  3. Step 3: Cross multiply
    39.65x = 54.65 × 29.93
  4. Step 4: Simplify right side
    39.65x = 1,635.25
  5. Step 5: Solve for x
    x = 1,635.25/39.65
  6. Step 6: Final answer
    x = 41.25

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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.