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Finding the Fourth Proportional to 115.10, 172.39 and 66.23

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Solution

The fourth proportional to 115.10, 172.39 and 66.23 is: 99.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 172.39 = 66.23 : x
  2. Step 2: Convert to fraction form
    115.10/172.39 = 66.23/x
  3. Step 3: Cross multiply
    115.10x = 172.39 × 66.23
  4. Step 4: Simplify right side
    115.10x = 11,417.39
  5. Step 5: Solve for x
    x = 11,417.39/115.10
  6. Step 6: Final answer
    x = 99.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.