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Finding the Fourth Proportional to 105.05, 157.57 and 87.14

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Solution

The fourth proportional to 105.05, 157.57 and 87.14 is: 130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.05 : 157.57 = 87.14 : x
  2. Step 2: Convert to fraction form
    105.05/157.57 = 87.14/x
  3. Step 3: Cross multiply
    105.05x = 157.57 × 87.14
  4. Step 4: Simplify right side
    105.05x = 13,729.64
  5. Step 5: Solve for x
    x = 13,729.64/105.05
  6. Step 6: Final answer
    x = 130.70

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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.