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Finding the Fourth Proportional to 242.10, 363.10 and 71.10

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Solution

The fourth proportional to 242.10, 363.10 and 71.10 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.10 : 363.10 = 71.10 : x
  2. Step 2: Convert to fraction form
    242.10/363.10 = 71.10/x
  3. Step 3: Cross multiply
    242.10x = 363.10 × 71.10
  4. Step 4: Simplify right side
    242.10x = 25,816.41
  5. Step 5: Solve for x
    x = 25,816.41/242.10
  6. Step 6: Final answer
    x = 106.64

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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.