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Finding the Fourth Proportional to 309.01, 463.53 and 103.60

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Solution

The fourth proportional to 309.01, 463.53 and 103.60 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.01 : 463.53 = 103.60 : x
  2. Step 2: Convert to fraction form
    309.01/463.53 = 103.60/x
  3. Step 3: Cross multiply
    309.01x = 463.53 × 103.60
  4. Step 4: Simplify right side
    309.01x = 48,021.71
  5. Step 5: Solve for x
    x = 48,021.71/309.01
  6. Step 6: Final answer
    x = 155.41

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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.