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Finding the Fourth Proportional to 88.08, 131.98 and 51.92

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Solution

The fourth proportional to 88.08, 131.98 and 51.92 is: 77.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.08 : 131.98 = 51.92 : x
  2. Step 2: Convert to fraction form
    88.08/131.98 = 51.92/x
  3. Step 3: Cross multiply
    88.08x = 131.98 × 51.92
  4. Step 4: Simplify right side
    88.08x = 6,852.40
  5. Step 5: Solve for x
    x = 6,852.40/88.08
  6. Step 6: Final answer
    x = 77.80

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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.