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Finding the Fourth Proportional to 45.76, 63.17 and 27.35

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Solution

The fourth proportional to 45.76, 63.17 and 27.35 is: 37.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.76 : 63.17 = 27.35 : x
  2. Step 2: Convert to fraction form
    45.76/63.17 = 27.35/x
  3. Step 3: Cross multiply
    45.76x = 63.17 × 27.35
  4. Step 4: Simplify right side
    45.76x = 1,727.70
  5. Step 5: Solve for x
    x = 1,727.70/45.76
  6. Step 6: Final answer
    x = 37.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.