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Finding the Fourth Proportional to 77.16, 116.33 and 74.32

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Solution

The fourth proportional to 77.16, 116.33 and 74.32 is: 112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.16 : 116.33 = 74.32 : x
  2. Step 2: Convert to fraction form
    77.16/116.33 = 74.32/x
  3. Step 3: Cross multiply
    77.16x = 116.33 × 74.32
  4. Step 4: Simplify right side
    77.16x = 8,645.65
  5. Step 5: Solve for x
    x = 8,645.65/77.16
  6. Step 6: Final answer
    x = 112.05

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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.