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Finding the Fourth Proportional to 51.04, 76.57 and 39.77

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Solution

The fourth proportional to 51.04, 76.57 and 39.77 is: 59.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.04 : 76.57 = 39.77 : x
  2. Step 2: Convert to fraction form
    51.04/76.57 = 39.77/x
  3. Step 3: Cross multiply
    51.04x = 76.57 × 39.77
  4. Step 4: Simplify right side
    51.04x = 3,045.10
  5. Step 5: Solve for x
    x = 3,045.10/51.04
  6. Step 6: Final answer
    x = 59.66

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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.