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Finding the Fourth Proportional to 56.35, 84.15 and 48.76

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Solution

The fourth proportional to 56.35, 84.15 and 48.76 is: 72.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.35 : 84.15 = 48.76 : x
  2. Step 2: Convert to fraction form
    56.35/84.15 = 48.76/x
  3. Step 3: Cross multiply
    56.35x = 84.15 × 48.76
  4. Step 4: Simplify right side
    56.35x = 4,103.15
  5. Step 5: Solve for x
    x = 4,103.15/56.35
  6. Step 6: Final answer
    x = 72.82

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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.