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Finding the Fourth Proportional to 55.64, 76.82 and 40.13

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Solution

The fourth proportional to 55.64, 76.82 and 40.13 is: 55.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.64 : 76.82 = 40.13 : x
  2. Step 2: Convert to fraction form
    55.64/76.82 = 40.13/x
  3. Step 3: Cross multiply
    55.64x = 76.82 × 40.13
  4. Step 4: Simplify right side
    55.64x = 3,082.66
  5. Step 5: Solve for x
    x = 3,082.66/55.64
  6. Step 6: Final answer
    x = 55.41

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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.