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Finding the Fourth Proportional to 102, 153.04 and 45.04

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Solution

The fourth proportional to 102, 153.04 and 45.04 is: 67.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 153.04 = 45.04 : x
  2. Step 2: Convert to fraction form
    102/153.04 = 45.04/x
  3. Step 3: Cross multiply
    102x = 153.04 × 45.04
  4. Step 4: Simplify right side
    102x = 6,892.92
  5. Step 5: Solve for x
    x = 6,892.92/102
  6. Step 6: Final answer
    x = 67.58

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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.