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Finding the Fourth Proportional to 96.78, 145.14 and 32.64

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Solution

The fourth proportional to 96.78, 145.14 and 32.64 is: 48.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 145.14 = 32.64 : x
  2. Step 2: Convert to fraction form
    96.78/145.14 = 32.64/x
  3. Step 3: Cross multiply
    96.78x = 145.14 × 32.64
  4. Step 4: Simplify right side
    96.78x = 4,737.37
  5. Step 5: Solve for x
    x = 4,737.37/96.78
  6. Step 6: Final answer
    x = 48.95

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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.