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Finding the Fourth Proportional to 157.48, 236.22 and 70.78

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Solution

The fourth proportional to 157.48, 236.22 and 70.78 is: 106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.48 : 236.22 = 70.78 : x
  2. Step 2: Convert to fraction form
    157.48/236.22 = 70.78/x
  3. Step 3: Cross multiply
    157.48x = 236.22 × 70.78
  4. Step 4: Simplify right side
    157.48x = 16,719.65
  5. Step 5: Solve for x
    x = 16,719.65/157.48
  6. Step 6: Final answer
    x = 106.17

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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.