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Finding the Fourth Proportional to 51.32, 76.57 and 46.76

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Solution

The fourth proportional to 51.32, 76.57 and 46.76 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.32 : 76.57 = 46.76 : x
  2. Step 2: Convert to fraction form
    51.32/76.57 = 46.76/x
  3. Step 3: Cross multiply
    51.32x = 76.57 × 46.76
  4. Step 4: Simplify right side
    51.32x = 3,580.41
  5. Step 5: Solve for x
    x = 3,580.41/51.32
  6. Step 6: Final answer
    x = 69.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.