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Finding the Fourth Proportional to 76.29, 105.24 and 46.77

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Solution

The fourth proportional to 76.29, 105.24 and 46.77 is: 64.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 105.24 = 46.77 : x
  2. Step 2: Convert to fraction form
    76.29/105.24 = 46.77/x
  3. Step 3: Cross multiply
    76.29x = 105.24 × 46.77
  4. Step 4: Simplify right side
    76.29x = 4,922.07
  5. Step 5: Solve for x
    x = 4,922.07/76.29
  6. Step 6: Final answer
    x = 64.52

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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.