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Finding the Fourth Proportional to 64.08, 88.49 and 39.53

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Solution

The fourth proportional to 64.08, 88.49 and 39.53 is: 54.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.08 : 88.49 = 39.53 : x
  2. Step 2: Convert to fraction form
    64.08/88.49 = 39.53/x
  3. Step 3: Cross multiply
    64.08x = 88.49 × 39.53
  4. Step 4: Simplify right side
    64.08x = 3,498.03
  5. Step 5: Solve for x
    x = 3,498.03/64.08
  6. Step 6: Final answer
    x = 54.59

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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.