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Finding the Fourth Proportional to 114.90, 172.44 and 106.08

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Solution

The fourth proportional to 114.90, 172.44 and 106.08 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.90 : 172.44 = 106.08 : x
  2. Step 2: Convert to fraction form
    114.90/172.44 = 106.08/x
  3. Step 3: Cross multiply
    114.90x = 172.44 × 106.08
  4. Step 4: Simplify right side
    114.90x = 18,292.44
  5. Step 5: Solve for x
    x = 18,292.44/114.90
  6. Step 6: Final answer
    x = 159.20

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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.