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Finding the Fourth Proportional to 60.31, 89.74 and 60.10

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Solution

The fourth proportional to 60.31, 89.74 and 60.10 is: 89.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.31 : 89.74 = 60.10 : x
  2. Step 2: Convert to fraction form
    60.31/89.74 = 60.10/x
  3. Step 3: Cross multiply
    60.31x = 89.74 × 60.10
  4. Step 4: Simplify right side
    60.31x = 5,393.39
  5. Step 5: Solve for x
    x = 5,393.39/60.31
  6. Step 6: Final answer
    x = 89.43

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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.