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Finding the Fourth Proportional to 40.37, 55.71 and 24

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Solution

The fourth proportional to 40.37, 55.71 and 24 is: 33.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.37 : 55.71 = 24 : x
  2. Step 2: Convert to fraction form
    40.37/55.71 = 24/x
  3. Step 3: Cross multiply
    40.37x = 55.71 × 24
  4. Step 4: Simplify right side
    40.37x = 1,337.04
  5. Step 5: Solve for x
    x = 1,337.04/40.37
  6. Step 6: Final answer
    x = 33.12

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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.