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Finding the Fourth Proportional to 460.70, 691.03 and 114.03

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Solution

The fourth proportional to 460.70, 691.03 and 114.03 is: 171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.70 : 691.03 = 114.03 : x
  2. Step 2: Convert to fraction form
    460.70/691.03 = 114.03/x
  3. Step 3: Cross multiply
    460.70x = 691.03 × 114.03
  4. Step 4: Simplify right side
    460.70x = 78,794.13
  5. Step 5: Solve for x
    x = 78,794.13/460.70
  6. Step 6: Final answer
    x = 171.03

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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.