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Finding the Fourth Proportional to 78.10, 107.67 and 72.70

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Solution

The fourth proportional to 78.10, 107.67 and 72.70 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.10 : 107.67 = 72.70 : x
  2. Step 2: Convert to fraction form
    78.10/107.67 = 72.70/x
  3. Step 3: Cross multiply
    78.10x = 107.67 × 72.70
  4. Step 4: Simplify right side
    78.10x = 7,827.61
  5. Step 5: Solve for x
    x = 7,827.61/78.10
  6. Step 6: Final answer
    x = 100.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.