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Finding the Fourth Proportional to 334, 501.02 and 106

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Solution

The fourth proportional to 334, 501.02 and 106 is: 159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 501.02 = 106 : x
  2. Step 2: Convert to fraction form
    334/501.02 = 106/x
  3. Step 3: Cross multiply
    334x = 501.02 × 106
  4. Step 4: Simplify right side
    334x = 53,108.12
  5. Step 5: Solve for x
    x = 53,108.12/334
  6. Step 6: Final answer
    x = 159.01

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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.