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Finding the Fourth Proportional to 48.42, 72.78 and 47.64

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Solution

The fourth proportional to 48.42, 72.78 and 47.64 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.42 : 72.78 = 47.64 : x
  2. Step 2: Convert to fraction form
    48.42/72.78 = 47.64/x
  3. Step 3: Cross multiply
    48.42x = 72.78 × 47.64
  4. Step 4: Simplify right side
    48.42x = 3,467.24
  5. Step 5: Solve for x
    x = 3,467.24/48.42
  6. Step 6: Final answer
    x = 71.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.