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Finding the Fourth Proportional to 131.58, 181.55 and 90.23

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Solution

The fourth proportional to 131.58, 181.55 and 90.23 is: 124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.58 : 181.55 = 90.23 : x
  2. Step 2: Convert to fraction form
    131.58/181.55 = 90.23/x
  3. Step 3: Cross multiply
    131.58x = 181.55 × 90.23
  4. Step 4: Simplify right side
    131.58x = 16,379.90
  5. Step 5: Solve for x
    x = 16,379.90/131.58
  6. Step 6: Final answer
    x = 124.49

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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.