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Finding the Fourth Proportional to 71.76, 98.96 and 45.84

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Solution

The fourth proportional to 71.76, 98.96 and 45.84 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 98.96 = 45.84 : x
  2. Step 2: Convert to fraction form
    71.76/98.96 = 45.84/x
  3. Step 3: Cross multiply
    71.76x = 98.96 × 45.84
  4. Step 4: Simplify right side
    71.76x = 4,536.33
  5. Step 5: Solve for x
    x = 4,536.33/71.76
  6. Step 6: Final answer
    x = 63.22

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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.