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Finding the Fourth Proportional to 116.42, 175.41 and 103.32

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Solution

The fourth proportional to 116.42, 175.41 and 103.32 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 175.41 = 103.32 : x
  2. Step 2: Convert to fraction form
    116.42/175.41 = 103.32/x
  3. Step 3: Cross multiply
    116.42x = 175.41 × 103.32
  4. Step 4: Simplify right side
    116.42x = 18,123.36
  5. Step 5: Solve for x
    x = 18,123.36/116.42
  6. Step 6: Final answer
    x = 155.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.