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Finding the Fourth Proportional to 96.52, 145.81 and 95.62

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Solution

The fourth proportional to 96.52, 145.81 and 95.62 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.52 : 145.81 = 95.62 : x
  2. Step 2: Convert to fraction form
    96.52/145.81 = 95.62/x
  3. Step 3: Cross multiply
    96.52x = 145.81 × 95.62
  4. Step 4: Simplify right side
    96.52x = 13,942.35
  5. Step 5: Solve for x
    x = 13,942.35/96.52
  6. Step 6: Final answer
    x = 144.45

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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.