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Finding the Fourth Proportional to 96.16, 143.30 and 93.52

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Solution

The fourth proportional to 96.16, 143.30 and 93.52 is: 139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 143.30 = 93.52 : x
  2. Step 2: Convert to fraction form
    96.16/143.30 = 93.52/x
  3. Step 3: Cross multiply
    96.16x = 143.30 × 93.52
  4. Step 4: Simplify right side
    96.16x = 13,401.42
  5. Step 5: Solve for x
    x = 13,401.42/96.16
  6. Step 6: Final answer
    x = 139.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.