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Finding the Fourth Proportional to 64.70, 89.28 and 38.82

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Solution

The fourth proportional to 64.70, 89.28 and 38.82 is: 53.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.70 : 89.28 = 38.82 : x
  2. Step 2: Convert to fraction form
    64.70/89.28 = 38.82/x
  3. Step 3: Cross multiply
    64.70x = 89.28 × 38.82
  4. Step 4: Simplify right side
    64.70x = 3,465.85
  5. Step 5: Solve for x
    x = 3,465.85/64.70
  6. Step 6: Final answer
    x = 53.57

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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.