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Finding the Fourth Proportional to 40.62, 56.05 and 24.02

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Solution

The fourth proportional to 40.62, 56.05 and 24.02 is: 33.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.62 : 56.05 = 24.02 : x
  2. Step 2: Convert to fraction form
    40.62/56.05 = 24.02/x
  3. Step 3: Cross multiply
    40.62x = 56.05 × 24.02
  4. Step 4: Simplify right side
    40.62x = 1,346.32
  5. Step 5: Solve for x
    x = 1,346.32/40.62
  6. Step 6: Final answer
    x = 33.14

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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.