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Finding the Fourth Proportional to 117.93, 162.34 and 102.17

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Solution

The fourth proportional to 117.93, 162.34 and 102.17 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.93 : 162.34 = 102.17 : x
  2. Step 2: Convert to fraction form
    117.93/162.34 = 102.17/x
  3. Step 3: Cross multiply
    117.93x = 162.34 × 102.17
  4. Step 4: Simplify right side
    117.93x = 16,586.28
  5. Step 5: Solve for x
    x = 16,586.28/117.93
  6. Step 6: Final answer
    x = 140.65

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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.