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Finding the Fourth Proportional to 89.06, 133.86 and 71.24

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Solution

The fourth proportional to 89.06, 133.86 and 71.24 is: 107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 133.86 = 71.24 : x
  2. Step 2: Convert to fraction form
    89.06/133.86 = 71.24/x
  3. Step 3: Cross multiply
    89.06x = 133.86 × 71.24
  4. Step 4: Simplify right side
    89.06x = 9,536.19
  5. Step 5: Solve for x
    x = 9,536.19/89.06
  6. Step 6: Final answer
    x = 107.08

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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.