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Finding the Fourth Proportional to 96.99, 145.49 and 32.00

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Solution

The fourth proportional to 96.99, 145.49 and 32.00 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.99 : 145.49 = 32.00 : x
  2. Step 2: Convert to fraction form
    96.99/145.49 = 32.00/x
  3. Step 3: Cross multiply
    96.99x = 145.49 × 32.00
  4. Step 4: Simplify right side
    96.99x = 4,654.79
  5. Step 5: Solve for x
    x = 4,654.79/96.99
  6. Step 6: Final answer
    x = 47.99

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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.