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Finding the Fourth Proportional to 114.14, 157 and 109.70

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Solution

The fourth proportional to 114.14, 157 and 109.70 is: 150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 157 = 109.70 : x
  2. Step 2: Convert to fraction form
    114.14/157 = 109.70/x
  3. Step 3: Cross multiply
    114.14x = 157 × 109.70
  4. Step 4: Simplify right side
    114.14x = 17,222.90
  5. Step 5: Solve for x
    x = 17,222.90/114.14
  6. Step 6: Final answer
    x = 150.89

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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.