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Finding the Fourth Proportional to 96.64, 144.88 and 34.93

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Solution

The fourth proportional to 96.64, 144.88 and 34.93 is: 52.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 144.88 = 34.93 : x
  2. Step 2: Convert to fraction form
    96.64/144.88 = 34.93/x
  3. Step 3: Cross multiply
    96.64x = 144.88 × 34.93
  4. Step 4: Simplify right side
    96.64x = 5,060.66
  5. Step 5: Solve for x
    x = 5,060.66/96.64
  6. Step 6: Final answer
    x = 52.37

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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.