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Finding the Fourth Proportional to 104.95, 157.50 and 77.97

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Solution

The fourth proportional to 104.95, 157.50 and 77.97 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.95 : 157.50 = 77.97 : x
  2. Step 2: Convert to fraction form
    104.95/157.50 = 77.97/x
  3. Step 3: Cross multiply
    104.95x = 157.50 × 77.97
  4. Step 4: Simplify right side
    104.95x = 12,280.28
  5. Step 5: Solve for x
    x = 12,280.28/104.95
  6. Step 6: Final answer
    x = 117.01

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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.