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Finding the Fourth Proportional to 430.06, 645.08 and 105.42

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Solution

The fourth proportional to 430.06, 645.08 and 105.42 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.06 : 645.08 = 105.42 : x
  2. Step 2: Convert to fraction form
    430.06/645.08 = 105.42/x
  3. Step 3: Cross multiply
    430.06x = 645.08 × 105.42
  4. Step 4: Simplify right side
    430.06x = 68,004.33
  5. Step 5: Solve for x
    x = 68,004.33/430.06
  6. Step 6: Final answer
    x = 158.13

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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.