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Finding the Fourth Proportional to 105.36, 157.84 and 78.24

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Solution

The fourth proportional to 105.36, 157.84 and 78.24 is: 117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 157.84 = 78.24 : x
  2. Step 2: Convert to fraction form
    105.36/157.84 = 78.24/x
  3. Step 3: Cross multiply
    105.36x = 157.84 × 78.24
  4. Step 4: Simplify right side
    105.36x = 12,349.40
  5. Step 5: Solve for x
    x = 12,349.40/105.36
  6. Step 6: Final answer
    x = 117.21

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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.