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Finding the Fourth Proportional to 114.78, 171.19 and 102.64

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Solution

The fourth proportional to 114.78, 171.19 and 102.64 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 171.19 = 102.64 : x
  2. Step 2: Convert to fraction form
    114.78/171.19 = 102.64/x
  3. Step 3: Cross multiply
    114.78x = 171.19 × 102.64
  4. Step 4: Simplify right side
    114.78x = 17,570.94
  5. Step 5: Solve for x
    x = 17,570.94/114.78
  6. Step 6: Final answer
    x = 153.08

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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.