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Finding the Fourth Proportional to 212.72, 318.88 and 91.02

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Solution

The fourth proportional to 212.72, 318.88 and 91.02 is: 136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 318.88 = 91.02 : x
  2. Step 2: Convert to fraction form
    212.72/318.88 = 91.02/x
  3. Step 3: Cross multiply
    212.72x = 318.88 × 91.02
  4. Step 4: Simplify right side
    212.72x = 29,024.00
  5. Step 5: Solve for x
    x = 29,024.00/212.72
  6. Step 6: Final answer
    x = 136.44

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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.