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Finding the Fourth Proportional to 117.13, 161.50 and 102.32

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Solution

The fourth proportional to 117.13, 161.50 and 102.32 is: 141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.13 : 161.50 = 102.32 : x
  2. Step 2: Convert to fraction form
    117.13/161.50 = 102.32/x
  3. Step 3: Cross multiply
    117.13x = 161.50 × 102.32
  4. Step 4: Simplify right side
    117.13x = 16,524.68
  5. Step 5: Solve for x
    x = 16,524.68/117.13
  6. Step 6: Final answer
    x = 141.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.