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Finding the Fourth Proportional to 131.57, 181.59 and 90.16

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Solution

The fourth proportional to 131.57, 181.59 and 90.16 is: 124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.57 : 181.59 = 90.16 : x
  2. Step 2: Convert to fraction form
    131.57/181.59 = 90.16/x
  3. Step 3: Cross multiply
    131.57x = 181.59 × 90.16
  4. Step 4: Simplify right side
    131.57x = 16,372.89
  5. Step 5: Solve for x
    x = 16,372.89/131.57
  6. Step 6: Final answer
    x = 124.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.