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Finding the Fourth Proportional to 114.88, 172.42 and 102.02

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Solution

The fourth proportional to 114.88, 172.42 and 102.02 is: 153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.88 : 172.42 = 102.02 : x
  2. Step 2: Convert to fraction form
    114.88/172.42 = 102.02/x
  3. Step 3: Cross multiply
    114.88x = 172.42 × 102.02
  4. Step 4: Simplify right side
    114.88x = 17,590.29
  5. Step 5: Solve for x
    x = 17,590.29/114.88
  6. Step 6: Final answer
    x = 153.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.