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Finding the Fourth Proportional to 56.09, 77.33 and 46.87

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Solution

The fourth proportional to 56.09, 77.33 and 46.87 is: 64.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 77.33 = 46.87 : x
  2. Step 2: Convert to fraction form
    56.09/77.33 = 46.87/x
  3. Step 3: Cross multiply
    56.09x = 77.33 × 46.87
  4. Step 4: Simplify right side
    56.09x = 3,624.38
  5. Step 5: Solve for x
    x = 3,624.38/56.09
  6. Step 6: Final answer
    x = 64.61

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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.