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Finding the Fourth Proportional to 114.98, 172.53 and 46.49

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Solution

The fourth proportional to 114.98, 172.53 and 46.49 is: 69.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 172.53 = 46.49 : x
  2. Step 2: Convert to fraction form
    114.98/172.53 = 46.49/x
  3. Step 3: Cross multiply
    114.98x = 172.53 × 46.49
  4. Step 4: Simplify right side
    114.98x = 8,020.06
  5. Step 5: Solve for x
    x = 8,020.06/114.98
  6. Step 6: Final answer
    x = 69.75

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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.