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Finding the Fourth Proportional to 152.39, 210.22 and 100.02

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Solution

The fourth proportional to 152.39, 210.22 and 100.02 is: 137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.39 : 210.22 = 100.02 : x
  2. Step 2: Convert to fraction form
    152.39/210.22 = 100.02/x
  3. Step 3: Cross multiply
    152.39x = 210.22 × 100.02
  4. Step 4: Simplify right side
    152.39x = 21,027.31
  5. Step 5: Solve for x
    x = 21,027.31/152.39
  6. Step 6: Final answer
    x = 137.98

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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.