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Finding the Fourth Proportional to 117.68, 162.14 and 84.48

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Solution

The fourth proportional to 117.68, 162.14 and 84.48 is: 116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.68 : 162.14 = 84.48 : x
  2. Step 2: Convert to fraction form
    117.68/162.14 = 84.48/x
  3. Step 3: Cross multiply
    117.68x = 162.14 × 84.48
  4. Step 4: Simplify right side
    117.68x = 13,697.59
  5. Step 5: Solve for x
    x = 13,697.59/117.68
  6. Step 6: Final answer
    x = 116.40

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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.