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Finding the Fourth Proportional to 56.15, 77.33 and 46.35

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Solution

The fourth proportional to 56.15, 77.33 and 46.35 is: 63.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.15 : 77.33 = 46.35 : x
  2. Step 2: Convert to fraction form
    56.15/77.33 = 46.35/x
  3. Step 3: Cross multiply
    56.15x = 77.33 × 46.35
  4. Step 4: Simplify right side
    56.15x = 3,584.01
  5. Step 5: Solve for x
    x = 3,584.01/56.15
  6. Step 6: Final answer
    x = 63.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.