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Finding the Fourth Proportional to 114.59, 157.66 and 111.55

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Solution

The fourth proportional to 114.59, 157.66 and 111.55 is: 153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 157.66 = 111.55 : x
  2. Step 2: Convert to fraction form
    114.59/157.66 = 111.55/x
  3. Step 3: Cross multiply
    114.59x = 157.66 × 111.55
  4. Step 4: Simplify right side
    114.59x = 17,586.97
  5. Step 5: Solve for x
    x = 17,586.97/114.59
  6. Step 6: Final answer
    x = 153.48

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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.