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Finding the Fourth Proportional to 114.83, 172.48 and 112.10

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Solution

The fourth proportional to 114.83, 172.48 and 112.10 is: 168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.83 : 172.48 = 112.10 : x
  2. Step 2: Convert to fraction form
    114.83/172.48 = 112.10/x
  3. Step 3: Cross multiply
    114.83x = 172.48 × 112.10
  4. Step 4: Simplify right side
    114.83x = 19,335.16
  5. Step 5: Solve for x
    x = 19,335.16/114.83
  6. Step 6: Final answer
    x = 168.38

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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.