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Finding the Fourth Proportional to 114.15, 156.46 and 110.05

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Solution

The fourth proportional to 114.15, 156.46 and 110.05 is: 150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.15 : 156.46 = 110.05 : x
  2. Step 2: Convert to fraction form
    114.15/156.46 = 110.05/x
  3. Step 3: Cross multiply
    114.15x = 156.46 × 110.05
  4. Step 4: Simplify right side
    114.15x = 17,218.42
  5. Step 5: Solve for x
    x = 17,218.42/114.15
  6. Step 6: Final answer
    x = 150.84

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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.