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Finding the Fourth Proportional to 55.88, 77.16 and 45.52

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Solution

The fourth proportional to 55.88, 77.16 and 45.52 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.88 : 77.16 = 45.52 : x
  2. Step 2: Convert to fraction form
    55.88/77.16 = 45.52/x
  3. Step 3: Cross multiply
    55.88x = 77.16 × 45.52
  4. Step 4: Simplify right side
    55.88x = 3,512.32
  5. Step 5: Solve for x
    x = 3,512.32/55.88
  6. Step 6: Final answer
    x = 62.85

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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.