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Finding the Fourth Proportional to 64.18, 96.25 and 49.05

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Solution

The fourth proportional to 64.18, 96.25 and 49.05 is: 73.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.18 : 96.25 = 49.05 : x
  2. Step 2: Convert to fraction form
    64.18/96.25 = 49.05/x
  3. Step 3: Cross multiply
    64.18x = 96.25 × 49.05
  4. Step 4: Simplify right side
    64.18x = 4,721.06
  5. Step 5: Solve for x
    x = 4,721.06/64.18
  6. Step 6: Final answer
    x = 73.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.