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Finding the Fourth Proportional to 117.37, 176.14 and 83.16

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Solution

The fourth proportional to 117.37, 176.14 and 83.16 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.37 : 176.14 = 83.16 : x
  2. Step 2: Convert to fraction form
    117.37/176.14 = 83.16/x
  3. Step 3: Cross multiply
    117.37x = 176.14 × 83.16
  4. Step 4: Simplify right side
    117.37x = 14,648.01
  5. Step 5: Solve for x
    x = 14,648.01/117.37
  6. Step 6: Final answer
    x = 124.81

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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.