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Finding the Fourth Proportional to 56.75, 84.74 and 46.58

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Solution

The fourth proportional to 56.75, 84.74 and 46.58 is: 69.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.75 : 84.74 = 46.58 : x
  2. Step 2: Convert to fraction form
    56.75/84.74 = 46.58/x
  3. Step 3: Cross multiply
    56.75x = 84.74 × 46.58
  4. Step 4: Simplify right side
    56.75x = 3,947.07
  5. Step 5: Solve for x
    x = 3,947.07/56.75
  6. Step 6: Final answer
    x = 69.55

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