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Finding the Fourth Proportional to 64.23, 88.49 and 47.82

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Solution

The fourth proportional to 64.23, 88.49 and 47.82 is: 65.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.23 : 88.49 = 47.82 : x
  2. Step 2: Convert to fraction form
    64.23/88.49 = 47.82/x
  3. Step 3: Cross multiply
    64.23x = 88.49 × 47.82
  4. Step 4: Simplify right side
    64.23x = 4,232.04
  5. Step 5: Solve for x
    x = 4,232.04/64.23
  6. Step 6: Final answer
    x = 65.89

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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.