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Finding the Fourth Proportional to 104.32, 157.10 and 90.96

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Solution

The fourth proportional to 104.32, 157.10 and 90.96 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.32 : 157.10 = 90.96 : x
  2. Step 2: Convert to fraction form
    104.32/157.10 = 90.96/x
  3. Step 3: Cross multiply
    104.32x = 157.10 × 90.96
  4. Step 4: Simplify right side
    104.32x = 14,289.82
  5. Step 5: Solve for x
    x = 14,289.82/104.32
  6. Step 6: Final answer
    x = 136.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.