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Finding the Fourth Proportional to 64.54, 89.05 and 38.32

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Solution

The fourth proportional to 64.54, 89.05 and 38.32 is: 52.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 89.05 = 38.32 : x
  2. Step 2: Convert to fraction form
    64.54/89.05 = 38.32/x
  3. Step 3: Cross multiply
    64.54x = 89.05 × 38.32
  4. Step 4: Simplify right side
    64.54x = 3,412.40
  5. Step 5: Solve for x
    x = 3,412.40/64.54
  6. Step 6: Final answer
    x = 52.87

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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.