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Finding the Fourth Proportional to 72.95, 101.15 and 70.82

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Solution

The fourth proportional to 72.95, 101.15 and 70.82 is: 98.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.95 : 101.15 = 70.82 : x
  2. Step 2: Convert to fraction form
    72.95/101.15 = 70.82/x
  3. Step 3: Cross multiply
    72.95x = 101.15 × 70.82
  4. Step 4: Simplify right side
    72.95x = 7,163.80
  5. Step 5: Solve for x
    x = 7,163.80/72.95
  6. Step 6: Final answer
    x = 98.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.