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Finding the Fourth Proportional to 285.11, 427.71 and 102.48

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Solution

The fourth proportional to 285.11, 427.71 and 102.48 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.11 : 427.71 = 102.48 : x
  2. Step 2: Convert to fraction form
    285.11/427.71 = 102.48/x
  3. Step 3: Cross multiply
    285.11x = 427.71 × 102.48
  4. Step 4: Simplify right side
    285.11x = 43,831.72
  5. Step 5: Solve for x
    x = 43,831.72/285.11
  6. Step 6: Final answer
    x = 153.74

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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.