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Finding the Fourth Proportional to 40.62, 55.98 and 35.76

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Solution

The fourth proportional to 40.62, 55.98 and 35.76 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.62 : 55.98 = 35.76 : x
  2. Step 2: Convert to fraction form
    40.62/55.98 = 35.76/x
  3. Step 3: Cross multiply
    40.62x = 55.98 × 35.76
  4. Step 4: Simplify right side
    40.62x = 2,001.84
  5. Step 5: Solve for x
    x = 2,001.84/40.62
  6. Step 6: Final answer
    x = 49.28

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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.