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Finding the Fourth Proportional to 460.68, 691.05 and 136.06

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Solution

The fourth proportional to 460.68, 691.05 and 136.06 is: 204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.68 : 691.05 = 136.06 : x
  2. Step 2: Convert to fraction form
    460.68/691.05 = 136.06/x
  3. Step 3: Cross multiply
    460.68x = 691.05 × 136.06
  4. Step 4: Simplify right side
    460.68x = 94,023.05
  5. Step 5: Solve for x
    x = 94,023.05/460.68
  6. Step 6: Final answer
    x = 204.10

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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.