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Finding the Fourth Proportional to 102.14, 153.09 and 65.46

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Solution

The fourth proportional to 102.14, 153.09 and 65.46 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 153.09 = 65.46 : x
  2. Step 2: Convert to fraction form
    102.14/153.09 = 65.46/x
  3. Step 3: Cross multiply
    102.14x = 153.09 × 65.46
  4. Step 4: Simplify right side
    102.14x = 10,020.89
  5. Step 5: Solve for x
    x = 10,020.89/102.14
  6. Step 6: Final answer
    x = 98.11

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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.