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Finding the Fourth Proportional to 65.18, 98.16 and 49.26

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Solution

The fourth proportional to 65.18, 98.16 and 49.26 is: 74.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.18 : 98.16 = 49.26 : x
  2. Step 2: Convert to fraction form
    65.18/98.16 = 49.26/x
  3. Step 3: Cross multiply
    65.18x = 98.16 × 49.26
  4. Step 4: Simplify right side
    65.18x = 4,835.36
  5. Step 5: Solve for x
    x = 4,835.36/65.18
  6. Step 6: Final answer
    x = 74.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.