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Finding the Fourth Proportional to 60.97, 90.78 and 60.10

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Solution

The fourth proportional to 60.97, 90.78 and 60.10 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.97 : 90.78 = 60.10 : x
  2. Step 2: Convert to fraction form
    60.97/90.78 = 60.10/x
  3. Step 3: Cross multiply
    60.97x = 90.78 × 60.10
  4. Step 4: Simplify right side
    60.97x = 5,455.88
  5. Step 5: Solve for x
    x = 5,455.88/60.97
  6. Step 6: Final answer
    x = 89.48

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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.