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Finding the Fourth Proportional to 88.14, 120.84 and 86.52

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Solution

The fourth proportional to 88.14, 120.84 and 86.52 is: 118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.14 : 120.84 = 86.52 : x
  2. Step 2: Convert to fraction form
    88.14/120.84 = 86.52/x
  3. Step 3: Cross multiply
    88.14x = 120.84 × 86.52
  4. Step 4: Simplify right side
    88.14x = 10,455.08
  5. Step 5: Solve for x
    x = 10,455.08/88.14
  6. Step 6: Final answer
    x = 118.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.