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Finding the Fourth Proportional to 91.06, 136.46 and 54.50

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Solution

The fourth proportional to 91.06, 136.46 and 54.50 is: 81.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.06 : 136.46 = 54.50 : x
  2. Step 2: Convert to fraction form
    91.06/136.46 = 54.50/x
  3. Step 3: Cross multiply
    91.06x = 136.46 × 54.50
  4. Step 4: Simplify right side
    91.06x = 7,437.07
  5. Step 5: Solve for x
    x = 7,437.07/91.06
  6. Step 6: Final answer
    x = 81.67

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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.