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Finding the Fourth Proportional to 78, 107.50 and 72.20

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Solution

The fourth proportional to 78, 107.50 and 72.20 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 107.50 = 72.20 : x
  2. Step 2: Convert to fraction form
    78/107.50 = 72.20/x
  3. Step 3: Cross multiply
    78x = 107.50 × 72.20
  4. Step 4: Simplify right side
    78x = 7,761.50
  5. Step 5: Solve for x
    x = 7,761.50/78
  6. Step 6: Final answer
    x = 99.51

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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.