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Finding the Fourth Proportional to 114.94, 159.48 and 110.38

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Solution

The fourth proportional to 114.94, 159.48 and 110.38 is: 153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 159.48 = 110.38 : x
  2. Step 2: Convert to fraction form
    114.94/159.48 = 110.38/x
  3. Step 3: Cross multiply
    114.94x = 159.48 × 110.38
  4. Step 4: Simplify right side
    114.94x = 17,603.40
  5. Step 5: Solve for x
    x = 17,603.40/114.94
  6. Step 6: Final answer
    x = 153.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.