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Finding the Fourth Proportional to 114.06, 157.17 and 111.09

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Solution

The fourth proportional to 114.06, 157.17 and 111.09 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 157.17 = 111.09 : x
  2. Step 2: Convert to fraction form
    114.06/157.17 = 111.09/x
  3. Step 3: Cross multiply
    114.06x = 157.17 × 111.09
  4. Step 4: Simplify right side
    114.06x = 17,460.02
  5. Step 5: Solve for x
    x = 17,460.02/114.06
  6. Step 6: Final answer
    x = 153.08

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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.