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Finding the Fourth Proportional to 56.19, 83.78 and 56.12

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Solution

The fourth proportional to 56.19, 83.78 and 56.12 is: 83.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.19 : 83.78 = 56.12 : x
  2. Step 2: Convert to fraction form
    56.19/83.78 = 56.12/x
  3. Step 3: Cross multiply
    56.19x = 83.78 × 56.12
  4. Step 4: Simplify right side
    56.19x = 4,701.56
  5. Step 5: Solve for x
    x = 4,701.56/56.19
  6. Step 6: Final answer
    x = 83.67

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Why These Related Problems?

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