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Finding the Fourth Proportional to 142.56, 213.76 and 102

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Solution

The fourth proportional to 142.56, 213.76 and 102 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 213.76 = 102 : x
  2. Step 2: Convert to fraction form
    142.56/213.76 = 102/x
  3. Step 3: Cross multiply
    142.56x = 213.76 × 102
  4. Step 4: Simplify right side
    142.56x = 21,803.52
  5. Step 5: Solve for x
    x = 21,803.52/142.56
  6. Step 6: Final answer
    x = 152.94

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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.