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Finding the Fourth Proportional to 114.94, 172.14 and 76.42

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Solution

The fourth proportional to 114.94, 172.14 and 76.42 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 172.14 = 76.42 : x
  2. Step 2: Convert to fraction form
    114.94/172.14 = 76.42/x
  3. Step 3: Cross multiply
    114.94x = 172.14 × 76.42
  4. Step 4: Simplify right side
    114.94x = 13,154.94
  5. Step 5: Solve for x
    x = 13,154.94/114.94
  6. Step 6: Final answer
    x = 114.45

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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.