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Finding the Fourth Proportional to 71.29, 97.67 and 70.53

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Solution

The fourth proportional to 71.29, 97.67 and 70.53 is: 96.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.29 : 97.67 = 70.53 : x
  2. Step 2: Convert to fraction form
    71.29/97.67 = 70.53/x
  3. Step 3: Cross multiply
    71.29x = 97.67 × 70.53
  4. Step 4: Simplify right side
    71.29x = 6,888.67
  5. Step 5: Solve for x
    x = 6,888.67/71.29
  6. Step 6: Final answer
    x = 96.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.