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Finding the Fourth Proportional to 118.32, 176.34 and 118.14

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Solution

The fourth proportional to 118.32, 176.34 and 118.14 is: 176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.32 : 176.34 = 118.14 : x
  2. Step 2: Convert to fraction form
    118.32/176.34 = 118.14/x
  3. Step 3: Cross multiply
    118.32x = 176.34 × 118.14
  4. Step 4: Simplify right side
    118.32x = 20,832.81
  5. Step 5: Solve for x
    x = 20,832.81/118.32
  6. Step 6: Final answer
    x = 176.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.