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Finding the Fourth Proportional to 64.10, 88.26 and 54.38

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Solution

The fourth proportional to 64.10, 88.26 and 54.38 is: 74.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.10 : 88.26 = 54.38 : x
  2. Step 2: Convert to fraction form
    64.10/88.26 = 54.38/x
  3. Step 3: Cross multiply
    64.10x = 88.26 × 54.38
  4. Step 4: Simplify right side
    64.10x = 4,799.58
  5. Step 5: Solve for x
    x = 4,799.58/64.10
  6. Step 6: Final answer
    x = 74.88

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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.