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Finding the Fourth Proportional to 72.16, 98.31 and 70.68

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Solution

The fourth proportional to 72.16, 98.31 and 70.68 is: 96.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.16 : 98.31 = 70.68 : x
  2. Step 2: Convert to fraction form
    72.16/98.31 = 70.68/x
  3. Step 3: Cross multiply
    72.16x = 98.31 × 70.68
  4. Step 4: Simplify right side
    72.16x = 6,948.55
  5. Step 5: Solve for x
    x = 6,948.55/72.16
  6. Step 6: Final answer
    x = 96.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.