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Finding the Fourth Proportional to 89.08, 133.71 and 71.06

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Solution

The fourth proportional to 89.08, 133.71 and 71.06 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.08 : 133.71 = 71.06 : x
  2. Step 2: Convert to fraction form
    89.08/133.71 = 71.06/x
  3. Step 3: Cross multiply
    89.08x = 133.71 × 71.06
  4. Step 4: Simplify right side
    89.08x = 9,501.43
  5. Step 5: Solve for x
    x = 9,501.43/89.08
  6. Step 6: Final answer
    x = 106.67

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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.