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Finding the Fourth Proportional to 117.48, 162.34 and 82.92

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Solution

The fourth proportional to 117.48, 162.34 and 82.92 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.48 : 162.34 = 82.92 : x
  2. Step 2: Convert to fraction form
    117.48/162.34 = 82.92/x
  3. Step 3: Cross multiply
    117.48x = 162.34 × 82.92
  4. Step 4: Simplify right side
    117.48x = 13,461.23
  5. Step 5: Solve for x
    x = 13,461.23/117.48
  6. Step 6: Final answer
    x = 114.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.