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Finding the Fourth Proportional to 102.26, 153.26 and 48.03

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Solution

The fourth proportional to 102.26, 153.26 and 48.03 is: 71.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.26 : 153.26 = 48.03 : x
  2. Step 2: Convert to fraction form
    102.26/153.26 = 48.03/x
  3. Step 3: Cross multiply
    102.26x = 153.26 × 48.03
  4. Step 4: Simplify right side
    102.26x = 7,360.84
  5. Step 5: Solve for x
    x = 7,360.84/102.26
  6. Step 6: Final answer
    x = 71.99

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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.