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Finding the Fourth Proportional to 55.47, 76.50 and 46.25

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Solution

The fourth proportional to 55.47, 76.50 and 46.25 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.47 : 76.50 = 46.25 : x
  2. Step 2: Convert to fraction form
    55.47/76.50 = 46.25/x
  3. Step 3: Cross multiply
    55.47x = 76.50 × 46.25
  4. Step 4: Simplify right side
    55.47x = 3,538.13
  5. Step 5: Solve for x
    x = 3,538.13/55.47
  6. Step 6: Final answer
    x = 63.78

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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.