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Finding the Fourth Proportional to 60.24, 90.79 and 54.46

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Solution

The fourth proportional to 60.24, 90.79 and 54.46 is: 82.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.24 : 90.79 = 54.46 : x
  2. Step 2: Convert to fraction form
    60.24/90.79 = 54.46/x
  3. Step 3: Cross multiply
    60.24x = 90.79 × 54.46
  4. Step 4: Simplify right side
    60.24x = 4,944.66
  5. Step 5: Solve for x
    x = 4,944.66/60.24
  6. Step 6: Final answer
    x = 82.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.