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Finding the Fourth Proportional to 114.84, 172.94 and 102.18

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Solution

The fourth proportional to 114.84, 172.94 and 102.18 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.84 : 172.94 = 102.18 : x
  2. Step 2: Convert to fraction form
    114.84/172.94 = 102.18/x
  3. Step 3: Cross multiply
    114.84x = 172.94 × 102.18
  4. Step 4: Simplify right side
    114.84x = 17,671.01
  5. Step 5: Solve for x
    x = 17,671.01/114.84
  6. Step 6: Final answer
    x = 153.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.