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Finding the Fourth Proportional to 56.46, 84.72 and 55.55

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Solution

The fourth proportional to 56.46, 84.72 and 55.55 is: 83.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 84.72 = 55.55 : x
  2. Step 2: Convert to fraction form
    56.46/84.72 = 55.55/x
  3. Step 3: Cross multiply
    56.46x = 84.72 × 55.55
  4. Step 4: Simplify right side
    56.46x = 4,706.06
  5. Step 5: Solve for x
    x = 4,706.06/56.46
  6. Step 6: Final answer
    x = 83.35

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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.