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Finding the Fourth Proportional to 60.78, 84.02 and 48.66

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Solution

The fourth proportional to 60.78, 84.02 and 48.66 is: 67.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.78 : 84.02 = 48.66 : x
  2. Step 2: Convert to fraction form
    60.78/84.02 = 48.66/x
  3. Step 3: Cross multiply
    60.78x = 84.02 × 48.66
  4. Step 4: Simplify right side
    60.78x = 4,088.41
  5. Step 5: Solve for x
    x = 4,088.41/60.78
  6. Step 6: Final answer
    x = 67.27

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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.