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Finding the Fourth Proportional to 64.09, 88.49 and 49.31

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Solution

The fourth proportional to 64.09, 88.49 and 49.31 is: 68.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.09 : 88.49 = 49.31 : x
  2. Step 2: Convert to fraction form
    64.09/88.49 = 49.31/x
  3. Step 3: Cross multiply
    64.09x = 88.49 × 49.31
  4. Step 4: Simplify right side
    64.09x = 4,363.69
  5. Step 5: Solve for x
    x = 4,363.69/64.09
  6. Step 6: Final answer
    x = 68.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.