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Finding the Fourth Proportional to 114.98, 172.41 and 54.13

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Solution

The fourth proportional to 114.98, 172.41 and 54.13 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 172.41 = 54.13 : x
  2. Step 2: Convert to fraction form
    114.98/172.41 = 54.13/x
  3. Step 3: Cross multiply
    114.98x = 172.41 × 54.13
  4. Step 4: Simplify right side
    114.98x = 9,332.55
  5. Step 5: Solve for x
    x = 9,332.55/114.98
  6. Step 6: Final answer
    x = 81.17

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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.