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Finding the Fourth Proportional to 152.42, 210.30 and 100.68

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Solution

The fourth proportional to 152.42, 210.30 and 100.68 is: 138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.42 : 210.30 = 100.68 : x
  2. Step 2: Convert to fraction form
    152.42/210.30 = 100.68/x
  3. Step 3: Cross multiply
    152.42x = 210.30 × 100.68
  4. Step 4: Simplify right side
    152.42x = 21,173.00
  5. Step 5: Solve for x
    x = 21,173.00/152.42
  6. Step 6: Final answer
    x = 138.91

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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.