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Finding the Fourth Proportional to 78.06, 116.43 and 73.16

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Solution

The fourth proportional to 78.06, 116.43 and 73.16 is: 109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 116.43 = 73.16 : x
  2. Step 2: Convert to fraction form
    78.06/116.43 = 73.16/x
  3. Step 3: Cross multiply
    78.06x = 116.43 × 73.16
  4. Step 4: Simplify right side
    78.06x = 8,517.65
  5. Step 5: Solve for x
    x = 8,517.65/78.06
  6. Step 6: Final answer
    x = 109.12

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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.