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Finding the Fourth Proportional to 117.97, 162.96 and 85.16

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Solution

The fourth proportional to 117.97, 162.96 and 85.16 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.97 : 162.96 = 85.16 : x
  2. Step 2: Convert to fraction form
    117.97/162.96 = 85.16/x
  3. Step 3: Cross multiply
    117.97x = 162.96 × 85.16
  4. Step 4: Simplify right side
    117.97x = 13,877.76
  5. Step 5: Solve for x
    x = 13,877.76/117.97
  6. Step 6: Final answer
    x = 117.64

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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.