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Finding the Fourth Proportional to 115.90, 174.05 and 102.91

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Solution

The fourth proportional to 115.90, 174.05 and 102.91 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.90 : 174.05 = 102.91 : x
  2. Step 2: Convert to fraction form
    115.90/174.05 = 102.91/x
  3. Step 3: Cross multiply
    115.90x = 174.05 × 102.91
  4. Step 4: Simplify right side
    115.90x = 17,911.35
  5. Step 5: Solve for x
    x = 17,911.35/115.90
  6. Step 6: Final answer
    x = 154.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.