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Finding the Fourth Proportional to 113.78, 157.05 and 70.16

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Solution

The fourth proportional to 113.78, 157.05 and 70.16 is: 96.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 157.05 = 70.16 : x
  2. Step 2: Convert to fraction form
    113.78/157.05 = 70.16/x
  3. Step 3: Cross multiply
    113.78x = 157.05 × 70.16
  4. Step 4: Simplify right side
    113.78x = 11,017.84
  5. Step 5: Solve for x
    x = 11,017.84/113.78
  6. Step 6: Final answer
    x = 96.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.