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Finding the Fourth Proportional to 114.85, 172.14 and 74.35

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Solution

The fourth proportional to 114.85, 172.14 and 74.35 is: 111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.85 : 172.14 = 74.35 : x
  2. Step 2: Convert to fraction form
    114.85/172.14 = 74.35/x
  3. Step 3: Cross multiply
    114.85x = 172.14 × 74.35
  4. Step 4: Simplify right side
    114.85x = 12,798.61
  5. Step 5: Solve for x
    x = 12,798.61/114.85
  6. Step 6: Final answer
    x = 111.44

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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.