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Finding the Fourth Proportional to 40.50, 55.86 and 24.90

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Solution

The fourth proportional to 40.50, 55.86 and 24.90 is: 34.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.50 : 55.86 = 24.90 : x
  2. Step 2: Convert to fraction form
    40.50/55.86 = 24.90/x
  3. Step 3: Cross multiply
    40.50x = 55.86 × 24.90
  4. Step 4: Simplify right side
    40.50x = 1,390.91
  5. Step 5: Solve for x
    x = 1,390.91/40.50
  6. Step 6: Final answer
    x = 34.34

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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.