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Finding the Fourth Proportional to 60.13, 89.97 and 51.46

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Solution

The fourth proportional to 60.13, 89.97 and 51.46 is: 77.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.13 : 89.97 = 51.46 : x
  2. Step 2: Convert to fraction form
    60.13/89.97 = 51.46/x
  3. Step 3: Cross multiply
    60.13x = 89.97 × 51.46
  4. Step 4: Simplify right side
    60.13x = 4,629.41
  5. Step 5: Solve for x
    x = 4,629.41/60.13
  6. Step 6: Final answer
    x = 77.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.