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Finding the Fourth Proportional to 117.44, 176 and 83.20

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Solution

The fourth proportional to 117.44, 176 and 83.20 is: 124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.44 : 176 = 83.20 : x
  2. Step 2: Convert to fraction form
    117.44/176 = 83.20/x
  3. Step 3: Cross multiply
    117.44x = 176 × 83.20
  4. Step 4: Simplify right side
    117.44x = 14,643.20
  5. Step 5: Solve for x
    x = 14,643.20/117.44
  6. Step 6: Final answer
    x = 124.69

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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.