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Finding the Fourth Proportional to 113.96, 157.32 and 70.36

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Solution

The fourth proportional to 113.96, 157.32 and 70.36 is: 97.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.96 : 157.32 = 70.36 : x
  2. Step 2: Convert to fraction form
    113.96/157.32 = 70.36/x
  3. Step 3: Cross multiply
    113.96x = 157.32 × 70.36
  4. Step 4: Simplify right side
    113.96x = 11,069.04
  5. Step 5: Solve for x
    x = 11,069.04/113.96
  6. Step 6: Final answer
    x = 97.13

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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.