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Finding the Fourth Proportional to 131.53, 181.53 and 128.06

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Solution

The fourth proportional to 131.53, 181.53 and 128.06 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.53 : 181.53 = 128.06 : x
  2. Step 2: Convert to fraction form
    131.53/181.53 = 128.06/x
  3. Step 3: Cross multiply
    131.53x = 181.53 × 128.06
  4. Step 4: Simplify right side
    131.53x = 23,246.73
  5. Step 5: Solve for x
    x = 23,246.73/131.53
  6. Step 6: Final answer
    x = 176.74

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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.