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Finding the Fourth Proportional to 113.84, 157.11 and 70.22

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Solution

The fourth proportional to 113.84, 157.11 and 70.22 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 157.11 = 70.22 : x
  2. Step 2: Convert to fraction form
    113.84/157.11 = 70.22/x
  3. Step 3: Cross multiply
    113.84x = 157.11 × 70.22
  4. Step 4: Simplify right side
    113.84x = 11,032.26
  5. Step 5: Solve for x
    x = 11,032.26/113.84
  6. Step 6: Final answer
    x = 96.91

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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.