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Finding the Fourth Proportional to 72.12, 108.18 and 65.10

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Solution

The fourth proportional to 72.12, 108.18 and 65.10 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.12 : 108.18 = 65.10 : x
  2. Step 2: Convert to fraction form
    72.12/108.18 = 65.10/x
  3. Step 3: Cross multiply
    72.12x = 108.18 × 65.10
  4. Step 4: Simplify right side
    72.12x = 7,042.52
  5. Step 5: Solve for x
    x = 7,042.52/72.12
  6. Step 6: Final answer
    x = 97.65

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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.