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Finding the Fourth Proportional to 114.33, 170.55 and 104.07

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Solution

The fourth proportional to 114.33, 170.55 and 104.07 is: 155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 170.55 = 104.07 : x
  2. Step 2: Convert to fraction form
    114.33/170.55 = 104.07/x
  3. Step 3: Cross multiply
    114.33x = 170.55 × 104.07
  4. Step 4: Simplify right side
    114.33x = 17,749.14
  5. Step 5: Solve for x
    x = 17,749.14/114.33
  6. Step 6: Final answer
    x = 155.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.