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Finding the Fourth Proportional to 64.06, 88.37 and 39.49

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Solution

The fourth proportional to 64.06, 88.37 and 39.49 is: 54.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.06 : 88.37 = 39.49 : x
  2. Step 2: Convert to fraction form
    64.06/88.37 = 39.49/x
  3. Step 3: Cross multiply
    64.06x = 88.37 × 39.49
  4. Step 4: Simplify right side
    64.06x = 3,489.34
  5. Step 5: Solve for x
    x = 3,489.34/64.06
  6. Step 6: Final answer
    x = 54.47

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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.