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Finding the Fourth Proportional to 115.02, 172.23 and 82.53

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Solution

The fourth proportional to 115.02, 172.23 and 82.53 is: 123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.02 : 172.23 = 82.53 : x
  2. Step 2: Convert to fraction form
    115.02/172.23 = 82.53/x
  3. Step 3: Cross multiply
    115.02x = 172.23 × 82.53
  4. Step 4: Simplify right side
    115.02x = 14,214.14
  5. Step 5: Solve for x
    x = 14,214.14/115.02
  6. Step 6: Final answer
    x = 123.58

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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.