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Finding the Fourth Proportional to 78.67, 108.54 and 47.57

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Solution

The fourth proportional to 78.67, 108.54 and 47.57 is: 65.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.67 : 108.54 = 47.57 : x
  2. Step 2: Convert to fraction form
    78.67/108.54 = 47.57/x
  3. Step 3: Cross multiply
    78.67x = 108.54 × 47.57
  4. Step 4: Simplify right side
    78.67x = 5,163.77
  5. Step 5: Solve for x
    x = 5,163.77/78.67
  6. Step 6: Final answer
    x = 65.64

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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.