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Finding the Fourth Proportional to 60.88, 91.78 and 49.00

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Solution

The fourth proportional to 60.88, 91.78 and 49.00 is: 73.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.88 : 91.78 = 49.00 : x
  2. Step 2: Convert to fraction form
    60.88/91.78 = 49.00/x
  3. Step 3: Cross multiply
    60.88x = 91.78 × 49.00
  4. Step 4: Simplify right side
    60.88x = 4,496.76
  5. Step 5: Solve for x
    x = 4,496.76/60.88
  6. Step 6: Final answer
    x = 73.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.