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Finding the Fourth Proportional to 89.24, 133.59 and 71.02

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Solution

The fourth proportional to 89.24, 133.59 and 71.02 is: 106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 133.59 = 71.02 : x
  2. Step 2: Convert to fraction form
    89.24/133.59 = 71.02/x
  3. Step 3: Cross multiply
    89.24x = 133.59 × 71.02
  4. Step 4: Simplify right side
    89.24x = 9,486.89
  5. Step 5: Solve for x
    x = 9,486.89/89.24
  6. Step 6: Final answer
    x = 106.31

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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.