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Finding the Fourth Proportional to 64.12, 88.44 and 48.64

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Solution

The fourth proportional to 64.12, 88.44 and 48.64 is: 67.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.12 : 88.44 = 48.64 : x
  2. Step 2: Convert to fraction form
    64.12/88.44 = 48.64/x
  3. Step 3: Cross multiply
    64.12x = 88.44 × 48.64
  4. Step 4: Simplify right side
    64.12x = 4,301.72
  5. Step 5: Solve for x
    x = 4,301.72/64.12
  6. Step 6: Final answer
    x = 67.09

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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.