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Finding the Fourth Proportional to 117.76, 162 and 117.48

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Solution

The fourth proportional to 117.76, 162 and 117.48 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.76 : 162 = 117.48 : x
  2. Step 2: Convert to fraction form
    117.76/162 = 117.48/x
  3. Step 3: Cross multiply
    117.76x = 162 × 117.48
  4. Step 4: Simplify right side
    117.76x = 19,031.76
  5. Step 5: Solve for x
    x = 19,031.76/117.76
  6. Step 6: Final answer
    x = 161.61

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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.