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Finding the Fourth Proportional to 64.25, 96.42 and 49.06

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Solution

The fourth proportional to 64.25, 96.42 and 49.06 is: 73.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.25 : 96.42 = 49.06 : x
  2. Step 2: Convert to fraction form
    64.25/96.42 = 49.06/x
  3. Step 3: Cross multiply
    64.25x = 96.42 × 49.06
  4. Step 4: Simplify right side
    64.25x = 4,730.67
  5. Step 5: Solve for x
    x = 4,730.67/64.25
  6. Step 6: Final answer
    x = 73.63

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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.