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Finding the Fourth Proportional to 105.17, 157.75 and 87.28

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Solution

The fourth proportional to 105.17, 157.75 and 87.28 is: 130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.17 : 157.75 = 87.28 : x
  2. Step 2: Convert to fraction form
    105.17/157.75 = 87.28/x
  3. Step 3: Cross multiply
    105.17x = 157.75 × 87.28
  4. Step 4: Simplify right side
    105.17x = 13,767.81
  5. Step 5: Solve for x
    x = 13,767.81/105.17
  6. Step 6: Final answer
    x = 130.92

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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.