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Finding the Fourth Proportional to 60.70, 90.54 and 54.16

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Solution

The fourth proportional to 60.70, 90.54 and 54.16 is: 80.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.70 : 90.54 = 54.16 : x
  2. Step 2: Convert to fraction form
    60.70/90.54 = 54.16/x
  3. Step 3: Cross multiply
    60.70x = 90.54 × 54.16
  4. Step 4: Simplify right side
    60.70x = 4,903.65
  5. Step 5: Solve for x
    x = 4,903.65/60.70
  6. Step 6: Final answer
    x = 80.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.