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Finding the Fourth Proportional to 430.75, 646.12 and 106.12

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Solution

The fourth proportional to 430.75, 646.12 and 106.12 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 646.12 = 106.12 : x
  2. Step 2: Convert to fraction form
    430.75/646.12 = 106.12/x
  3. Step 3: Cross multiply
    430.75x = 646.12 × 106.12
  4. Step 4: Simplify right side
    430.75x = 68,564.17
  5. Step 5: Solve for x
    x = 68,564.17/430.75
  6. Step 6: Final answer
    x = 159.17

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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.