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Finding the Fourth Proportional to 152.30, 210.14 and 85.90

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Solution

The fourth proportional to 152.30, 210.14 and 85.90 is: 118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 210.14 = 85.90 : x
  2. Step 2: Convert to fraction form
    152.30/210.14 = 85.90/x
  3. Step 3: Cross multiply
    152.30x = 210.14 × 85.90
  4. Step 4: Simplify right side
    152.30x = 18,049.98
  5. Step 5: Solve for x
    x = 18,049.98/152.30
  6. Step 6: Final answer
    x = 118.52

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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.