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Finding the Fourth Proportional to 95.84, 144 and 64.04

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Solution

The fourth proportional to 95.84, 144 and 64.04 is: 96.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.84 : 144 = 64.04 : x
  2. Step 2: Convert to fraction form
    95.84/144 = 64.04/x
  3. Step 3: Cross multiply
    95.84x = 144 × 64.04
  4. Step 4: Simplify right side
    95.84x = 9,221.76
  5. Step 5: Solve for x
    x = 9,221.76/95.84
  6. Step 6: Final answer
    x = 96.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.