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Finding the Fourth Proportional to 29.59, 40.93 and 27.61

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Solution

The fourth proportional to 29.59, 40.93 and 27.61 is: 38.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.59 : 40.93 = 27.61 : x
  2. Step 2: Convert to fraction form
    29.59/40.93 = 27.61/x
  3. Step 3: Cross multiply
    29.59x = 40.93 × 27.61
  4. Step 4: Simplify right side
    29.59x = 1,129.91
  5. Step 5: Solve for x
    x = 1,129.91/29.59
  6. Step 6: Final answer
    x = 38.19

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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.