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Finding the Fourth Proportional to 113.86, 157.17 and 70.19

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Solution

The fourth proportional to 113.86, 157.17 and 70.19 is: 96.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.86 : 157.17 = 70.19 : x
  2. Step 2: Convert to fraction form
    113.86/157.17 = 70.19/x
  3. Step 3: Cross multiply
    113.86x = 157.17 × 70.19
  4. Step 4: Simplify right side
    113.86x = 11,031.76
  5. Step 5: Solve for x
    x = 11,031.76/113.86
  6. Step 6: Final answer
    x = 96.89

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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.