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Finding the Fourth Proportional to 114.83, 172.23 and 46.40

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Solution

The fourth proportional to 114.83, 172.23 and 46.40 is: 69.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.83 : 172.23 = 46.40 : x
  2. Step 2: Convert to fraction form
    114.83/172.23 = 46.40/x
  3. Step 3: Cross multiply
    114.83x = 172.23 × 46.40
  4. Step 4: Simplify right side
    114.83x = 7,990.61
  5. Step 5: Solve for x
    x = 7,990.61/114.83
  6. Step 6: Final answer
    x = 69.59

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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.