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Finding the Fourth Proportional to 77.57, 116.10 and 50.16

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Solution

The fourth proportional to 77.57, 116.10 and 50.16 is: 75.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.57 : 116.10 = 50.16 : x
  2. Step 2: Convert to fraction form
    77.57/116.10 = 50.16/x
  3. Step 3: Cross multiply
    77.57x = 116.10 × 50.16
  4. Step 4: Simplify right side
    77.57x = 5,823.58
  5. Step 5: Solve for x
    x = 5,823.58/77.57
  6. Step 6: Final answer
    x = 75.08

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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.