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Finding the Fourth Proportional to 45.77, 63.14 and 38.48

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Solution

The fourth proportional to 45.77, 63.14 and 38.48 is: 53.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.77 : 63.14 = 38.48 : x
  2. Step 2: Convert to fraction form
    45.77/63.14 = 38.48/x
  3. Step 3: Cross multiply
    45.77x = 63.14 × 38.48
  4. Step 4: Simplify right side
    45.77x = 2,429.12
  5. Step 5: Solve for x
    x = 2,429.12/45.77
  6. Step 6: Final answer
    x = 53.08

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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.