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Finding the Fourth Proportional to 56.17, 83.66 and 53.67

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Solution

The fourth proportional to 56.17, 83.66 and 53.67 is: 79.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.17 : 83.66 = 53.67 : x
  2. Step 2: Convert to fraction form
    56.17/83.66 = 53.67/x
  3. Step 3: Cross multiply
    56.17x = 83.66 × 53.67
  4. Step 4: Simplify right side
    56.17x = 4,490.14
  5. Step 5: Solve for x
    x = 4,490.14/56.17
  6. Step 6: Final answer
    x = 79.94

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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.