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Finding the Fourth Proportional to 115.66, 172.02 and 114.46

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Solution

The fourth proportional to 115.66, 172.02 and 114.46 is: 170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.66 : 172.02 = 114.46 : x
  2. Step 2: Convert to fraction form
    115.66/172.02 = 114.46/x
  3. Step 3: Cross multiply
    115.66x = 172.02 × 114.46
  4. Step 4: Simplify right side
    115.66x = 19,689.41
  5. Step 5: Solve for x
    x = 19,689.41/115.66
  6. Step 6: Final answer
    x = 170.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.