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Finding the Fourth Proportional to 131.56, 181.74 and 105.64

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Solution

The fourth proportional to 131.56, 181.74 and 105.64 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.56 : 181.74 = 105.64 : x
  2. Step 2: Convert to fraction form
    131.56/181.74 = 105.64/x
  3. Step 3: Cross multiply
    131.56x = 181.74 × 105.64
  4. Step 4: Simplify right side
    131.56x = 19,199.01
  5. Step 5: Solve for x
    x = 19,199.01/131.56
  6. Step 6: Final answer
    x = 145.93

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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.