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Finding the Fourth Proportional to 114.65, 172.05 and 114.23

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Solution

The fourth proportional to 114.65, 172.05 and 114.23 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.65 : 172.05 = 114.23 : x
  2. Step 2: Convert to fraction form
    114.65/172.05 = 114.23/x
  3. Step 3: Cross multiply
    114.65x = 172.05 × 114.23
  4. Step 4: Simplify right side
    114.65x = 19,652.41
  5. Step 5: Solve for x
    x = 19,652.41/114.65
  6. Step 6: Final answer
    x = 171.42

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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.