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Finding the Fourth Proportional to 96.54, 143.78 and 96.04

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Solution

The fourth proportional to 96.54, 143.78 and 96.04 is: 143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 143.78 = 96.04 : x
  2. Step 2: Convert to fraction form
    96.54/143.78 = 96.04/x
  3. Step 3: Cross multiply
    96.54x = 143.78 × 96.04
  4. Step 4: Simplify right side
    96.54x = 13,807.52
  5. Step 5: Solve for x
    x = 13,807.52/96.54
  6. Step 6: Final answer
    x = 143.02

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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.