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Finding the Fourth Proportional to 45.99, 63.47 and 37.78

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Solution

The fourth proportional to 45.99, 63.47 and 37.78 is: 52.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.99 : 63.47 = 37.78 : x
  2. Step 2: Convert to fraction form
    45.99/63.47 = 37.78/x
  3. Step 3: Cross multiply
    45.99x = 63.47 × 37.78
  4. Step 4: Simplify right side
    45.99x = 2,397.90
  5. Step 5: Solve for x
    x = 2,397.90/45.99
  6. Step 6: Final answer
    x = 52.14

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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.