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Finding the Fourth Proportional to 117.56, 162.12 and 83

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Solution

The fourth proportional to 117.56, 162.12 and 83 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.56 : 162.12 = 83 : x
  2. Step 2: Convert to fraction form
    117.56/162.12 = 83/x
  3. Step 3: Cross multiply
    117.56x = 162.12 × 83
  4. Step 4: Simplify right side
    117.56x = 13,455.96
  5. Step 5: Solve for x
    x = 13,455.96/117.56
  6. Step 6: Final answer
    x = 114.46

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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.