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Finding the Fourth Proportional to 114.46, 157.94 and 70.78

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Solution

The fourth proportional to 114.46, 157.94 and 70.78 is: 97.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.46 : 157.94 = 70.78 : x
  2. Step 2: Convert to fraction form
    114.46/157.94 = 70.78/x
  3. Step 3: Cross multiply
    114.46x = 157.94 × 70.78
  4. Step 4: Simplify right side
    114.46x = 11,178.64
  5. Step 5: Solve for x
    x = 11,178.64/114.46
  6. Step 6: Final answer
    x = 97.67

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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.