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Finding the Fourth Proportional to 114.59, 158.34 and 90.23

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Solution

The fourth proportional to 114.59, 158.34 and 90.23 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 158.34 = 90.23 : x
  2. Step 2: Convert to fraction form
    114.59/158.34 = 90.23/x
  3. Step 3: Cross multiply
    114.59x = 158.34 × 90.23
  4. Step 4: Simplify right side
    114.59x = 14,286.56
  5. Step 5: Solve for x
    x = 14,286.56/114.59
  6. Step 6: Final answer
    x = 124.67

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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.