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Finding the Fourth Proportional to 460.68, 691.02 and 114.02

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Solution

The fourth proportional to 460.68, 691.02 and 114.02 is: 171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.68 : 691.02 = 114.02 : x
  2. Step 2: Convert to fraction form
    460.68/691.02 = 114.02/x
  3. Step 3: Cross multiply
    460.68x = 691.02 × 114.02
  4. Step 4: Simplify right side
    460.68x = 78,792.11
  5. Step 5: Solve for x
    x = 78,792.11/460.68
  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.