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Finding the Fourth Proportional to 102.37, 153.31 and 65.69

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Solution

The fourth proportional to 102.37, 153.31 and 65.69 is: 98.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.37 : 153.31 = 65.69 : x
  2. Step 2: Convert to fraction form
    102.37/153.31 = 65.69/x
  3. Step 3: Cross multiply
    102.37x = 153.31 × 65.69
  4. Step 4: Simplify right side
    102.37x = 10,070.92
  5. Step 5: Solve for x
    x = 10,070.92/102.37
  6. Step 6: Final answer
    x = 98.38

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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.