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Finding the Fourth Proportional to 113.85, 157.08 and 70.14

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Solution

The fourth proportional to 113.85, 157.08 and 70.14 is: 96.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.85 : 157.08 = 70.14 : x
  2. Step 2: Convert to fraction form
    113.85/157.08 = 70.14/x
  3. Step 3: Cross multiply
    113.85x = 157.08 × 70.14
  4. Step 4: Simplify right side
    113.85x = 11,017.59
  5. Step 5: Solve for x
    x = 11,017.59/113.85
  6. Step 6: Final answer
    x = 96.77

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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.