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Finding the Fourth Proportional to 114.93, 172.11 and 82.35

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Solution

The fourth proportional to 114.93, 172.11 and 82.35 is: 123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.93 : 172.11 = 82.35 : x
  2. Step 2: Convert to fraction form
    114.93/172.11 = 82.35/x
  3. Step 3: Cross multiply
    114.93x = 172.11 × 82.35
  4. Step 4: Simplify right side
    114.93x = 14,173.26
  5. Step 5: Solve for x
    x = 14,173.26/114.93
  6. Step 6: Final answer
    x = 123.32

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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.