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Finding the Fourth Proportional to 117.74, 162.02 and 102.15

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Solution

The fourth proportional to 117.74, 162.02 and 102.15 is: 140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.74 : 162.02 = 102.15 : x
  2. Step 2: Convert to fraction form
    117.74/162.02 = 102.15/x
  3. Step 3: Cross multiply
    117.74x = 162.02 × 102.15
  4. Step 4: Simplify right side
    117.74x = 16,549.83
  5. Step 5: Solve for x
    x = 16,549.83/117.74
  6. Step 6: Final answer
    x = 140.57

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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.