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Finding the Fourth Proportional to 114.54, 156.98 and 112.86

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Solution

The fourth proportional to 114.54, 156.98 and 112.86 is: 154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 156.98 = 112.86 : x
  2. Step 2: Convert to fraction form
    114.54/156.98 = 112.86/x
  3. Step 3: Cross multiply
    114.54x = 156.98 × 112.86
  4. Step 4: Simplify right side
    114.54x = 17,716.20
  5. Step 5: Solve for x
    x = 17,716.20/114.54
  6. Step 6: Final answer
    x = 154.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.