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Finding the Fourth Proportional to 83.35, 114.93 and 71.11

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Solution

The fourth proportional to 83.35, 114.93 and 71.11 is: 98.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.35 : 114.93 = 71.11 : x
  2. Step 2: Convert to fraction form
    83.35/114.93 = 71.11/x
  3. Step 3: Cross multiply
    83.35x = 114.93 × 71.11
  4. Step 4: Simplify right side
    83.35x = 8,172.67
  5. Step 5: Solve for x
    x = 8,172.67/83.35
  6. Step 6: Final answer
    x = 98.05

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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.