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Finding the Fourth Proportional to 102.93, 154.17 and 102.24

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Solution

The fourth proportional to 102.93, 154.17 and 102.24 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 154.17 = 102.24 : x
  2. Step 2: Convert to fraction form
    102.93/154.17 = 102.24/x
  3. Step 3: Cross multiply
    102.93x = 154.17 × 102.24
  4. Step 4: Simplify right side
    102.93x = 15,762.34
  5. Step 5: Solve for x
    x = 15,762.34/102.93
  6. Step 6: Final answer
    x = 153.14

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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.