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Finding the Fourth Proportional to 64.26, 96.19 and 49.07

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Solution

The fourth proportional to 64.26, 96.19 and 49.07 is: 73.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.26 : 96.19 = 49.07 : x
  2. Step 2: Convert to fraction form
    64.26/96.19 = 49.07/x
  3. Step 3: Cross multiply
    64.26x = 96.19 × 49.07
  4. Step 4: Simplify right side
    64.26x = 4,720.16
  5. Step 5: Solve for x
    x = 4,720.16/64.26
  6. Step 6: Final answer
    x = 73.45

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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.