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Finding the Fourth Proportional to 102.37, 153.74 and 70.33

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Solution

The fourth proportional to 102.37, 153.74 and 70.33 is: 105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.37 : 153.74 = 70.33 : x
  2. Step 2: Convert to fraction form
    102.37/153.74 = 70.33/x
  3. Step 3: Cross multiply
    102.37x = 153.74 × 70.33
  4. Step 4: Simplify right side
    102.37x = 10,812.18
  5. Step 5: Solve for x
    x = 10,812.18/102.37
  6. Step 6: Final answer
    x = 105.62

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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.