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Finding the Fourth Proportional to 71.06, 97.42 and 70.00

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Solution

The fourth proportional to 71.06, 97.42 and 70.00 is: 95.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 97.42 = 70.00 : x
  2. Step 2: Convert to fraction form
    71.06/97.42 = 70.00/x
  3. Step 3: Cross multiply
    71.06x = 97.42 × 70.00
  4. Step 4: Simplify right side
    71.06x = 6,818.91
  5. Step 5: Solve for x
    x = 6,818.91/71.06
  6. Step 6: Final answer
    x = 95.96

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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.