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Finding the Fourth Proportional to 57.76, 86.62 and 46.88

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Solution

The fourth proportional to 57.76, 86.62 and 46.88 is: 70.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.76 : 86.62 = 46.88 : x
  2. Step 2: Convert to fraction form
    57.76/86.62 = 46.88/x
  3. Step 3: Cross multiply
    57.76x = 86.62 × 46.88
  4. Step 4: Simplify right side
    57.76x = 4,060.51
  5. Step 5: Solve for x
    x = 4,060.51/57.76
  6. Step 6: Final answer
    x = 70.31

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Why These Related Problems?

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