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Finding the Fourth Proportional to 60, 89.51 and 54.93

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Solution

The fourth proportional to 60, 89.51 and 54.93 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60 : 89.51 = 54.93 : x
  2. Step 2: Convert to fraction form
    60/89.51 = 54.93/x
  3. Step 3: Cross multiply
    60x = 89.51 × 54.93
  4. Step 4: Simplify right side
    60x = 4,916.78
  5. Step 5: Solve for x
    x = 4,916.78/60
  6. Step 6: Final answer
    x = 81.95

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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.