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Finding the Fourth Proportional to 39.95, 55.14 and 29.58

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Solution

The fourth proportional to 39.95, 55.14 and 29.58 is: 40.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.95 : 55.14 = 29.58 : x
  2. Step 2: Convert to fraction form
    39.95/55.14 = 29.58/x
  3. Step 3: Cross multiply
    39.95x = 55.14 × 29.58
  4. Step 4: Simplify right side
    39.95x = 1,631.04
  5. Step 5: Solve for x
    x = 1,631.04/39.95
  6. Step 6: Final answer
    x = 40.83

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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.