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Finding the Fourth Proportional to 64.32, 88.78 and 53.48

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Solution

The fourth proportional to 64.32, 88.78 and 53.48 is: 73.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.32 : 88.78 = 53.48 : x
  2. Step 2: Convert to fraction form
    64.32/88.78 = 53.48/x
  3. Step 3: Cross multiply
    64.32x = 88.78 × 53.48
  4. Step 4: Simplify right side
    64.32x = 4,747.95
  5. Step 5: Solve for x
    x = 4,747.95/64.32
  6. Step 6: Final answer
    x = 73.82

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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.