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Finding the Fourth Proportional to 114.80, 172.30 and 46.37

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Solution

The fourth proportional to 114.80, 172.30 and 46.37 is: 69.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.80 : 172.30 = 46.37 : x
  2. Step 2: Convert to fraction form
    114.80/172.30 = 46.37/x
  3. Step 3: Cross multiply
    114.80x = 172.30 × 46.37
  4. Step 4: Simplify right side
    114.80x = 7,989.55
  5. Step 5: Solve for x
    x = 7,989.55/114.80
  6. Step 6: Final answer
    x = 69.60

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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.