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Finding the Fourth Proportional to 101.90, 152.40 and 85.70

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Solution

The fourth proportional to 101.90, 152.40 and 85.70 is: 128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.90 : 152.40 = 85.70 : x
  2. Step 2: Convert to fraction form
    101.90/152.40 = 85.70/x
  3. Step 3: Cross multiply
    101.90x = 152.40 × 85.70
  4. Step 4: Simplify right side
    101.90x = 13,060.68
  5. Step 5: Solve for x
    x = 13,060.68/101.90
  6. Step 6: Final answer
    x = 128.17

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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.