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Finding the Fourth Proportional to 152.62, 210.49 and 102.83

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Solution

The fourth proportional to 152.62, 210.49 and 102.83 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.62 : 210.49 = 102.83 : x
  2. Step 2: Convert to fraction form
    152.62/210.49 = 102.83/x
  3. Step 3: Cross multiply
    152.62x = 210.49 × 102.83
  4. Step 4: Simplify right side
    152.62x = 21,644.17
  5. Step 5: Solve for x
    x = 21,644.17/152.62
  6. Step 6: Final answer
    x = 141.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.