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Finding the Fourth Proportional to 56.15, 84.02 and 46.53

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Solution

The fourth proportional to 56.15, 84.02 and 46.53 is: 69.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.15 : 84.02 = 46.53 : x
  2. Step 2: Convert to fraction form
    56.15/84.02 = 46.53/x
  3. Step 3: Cross multiply
    56.15x = 84.02 × 46.53
  4. Step 4: Simplify right side
    56.15x = 3,908.80
  5. Step 5: Solve for x
    x = 3,908.80/56.15
  6. Step 6: Final answer
    x = 69.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.