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Finding the Fourth Proportional to 55.90, 83.71 and 55.67

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Solution

The fourth proportional to 55.90, 83.71 and 55.67 is: 83.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.90 : 83.71 = 55.67 : x
  2. Step 2: Convert to fraction form
    55.90/83.71 = 55.67/x
  3. Step 3: Cross multiply
    55.90x = 83.71 × 55.67
  4. Step 4: Simplify right side
    55.90x = 4,659.79
  5. Step 5: Solve for x
    x = 4,659.79/55.90
  6. Step 6: Final answer
    x = 83.36

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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.