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Finding the Fourth Proportional to 71.94, 99.32 and 70.46

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Solution

The fourth proportional to 71.94, 99.32 and 70.46 is: 97.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 99.32 = 70.46 : x
  2. Step 2: Convert to fraction form
    71.94/99.32 = 70.46/x
  3. Step 3: Cross multiply
    71.94x = 99.32 × 70.46
  4. Step 4: Simplify right side
    71.94x = 6,997.24
  5. Step 5: Solve for x
    x = 6,997.24/71.94
  6. Step 6: Final answer
    x = 97.26

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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.