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Finding the Fourth Proportional to 114.98, 172.30 and 76.42

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Solution

The fourth proportional to 114.98, 172.30 and 76.42 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 172.30 = 76.42 : x
  2. Step 2: Convert to fraction form
    114.98/172.30 = 76.42/x
  3. Step 3: Cross multiply
    114.98x = 172.30 × 76.42
  4. Step 4: Simplify right side
    114.98x = 13,167.17
  5. Step 5: Solve for x
    x = 13,167.17/114.98
  6. Step 6: Final answer
    x = 114.52

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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.