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Finding the Fourth Proportional to 65.54, 98.15 and 45.18

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Solution

The fourth proportional to 65.54, 98.15 and 45.18 is: 67.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.54 : 98.15 = 45.18 : x
  2. Step 2: Convert to fraction form
    65.54/98.15 = 45.18/x
  3. Step 3: Cross multiply
    65.54x = 98.15 × 45.18
  4. Step 4: Simplify right side
    65.54x = 4,434.42
  5. Step 5: Solve for x
    x = 4,434.42/65.54
  6. Step 6: Final answer
    x = 67.66

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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.