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Finding the Fourth Proportional to 89.13, 133.68 and 35.06

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Solution

The fourth proportional to 89.13, 133.68 and 35.06 is: 52.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.13 : 133.68 = 35.06 : x
  2. Step 2: Convert to fraction form
    89.13/133.68 = 35.06/x
  3. Step 3: Cross multiply
    89.13x = 133.68 × 35.06
  4. Step 4: Simplify right side
    89.13x = 4,686.82
  5. Step 5: Solve for x
    x = 4,686.82/89.13
  6. Step 6: Final answer
    x = 52.59

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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.