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Finding the Fourth Proportional to 88, 131.97 and 51.45

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Solution

The fourth proportional to 88, 131.97 and 51.45 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88 : 131.97 = 51.45 : x
  2. Step 2: Convert to fraction form
    88/131.97 = 51.45/x
  3. Step 3: Cross multiply
    88x = 131.97 × 51.45
  4. Step 4: Simplify right side
    88x = 6,789.86
  5. Step 5: Solve for x
    x = 6,789.86/88
  6. Step 6: Final answer
    x = 77.16

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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.