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Finding the Fourth Proportional to 114.10, 172.02 and 106.28

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Solution

The fourth proportional to 114.10, 172.02 and 106.28 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 172.02 = 106.28 : x
  2. Step 2: Convert to fraction form
    114.10/172.02 = 106.28/x
  3. Step 3: Cross multiply
    114.10x = 172.02 × 106.28
  4. Step 4: Simplify right side
    114.10x = 18,282.29
  5. Step 5: Solve for x
    x = 18,282.29/114.10
  6. Step 6: Final answer
    x = 160.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.