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Finding the Fourth Proportional to 55.86, 76.82 and 45.90

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Solution

The fourth proportional to 55.86, 76.82 and 45.90 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.86 : 76.82 = 45.90 : x
  2. Step 2: Convert to fraction form
    55.86/76.82 = 45.90/x
  3. Step 3: Cross multiply
    55.86x = 76.82 × 45.90
  4. Step 4: Simplify right side
    55.86x = 3,526.04
  5. Step 5: Solve for x
    x = 3,526.04/55.86
  6. Step 6: Final answer
    x = 63.12

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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.