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Finding the Fourth Proportional to 71.84, 108.32 and 65.84

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Solution

The fourth proportional to 71.84, 108.32 and 65.84 is: 99.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.84 : 108.32 = 65.84 : x
  2. Step 2: Convert to fraction form
    71.84/108.32 = 65.84/x
  3. Step 3: Cross multiply
    71.84x = 108.32 × 65.84
  4. Step 4: Simplify right side
    71.84x = 7,131.79
  5. Step 5: Solve for x
    x = 7,131.79/71.84
  6. Step 6: Final answer
    x = 99.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.