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Finding the Fourth Proportional to 131.64, 181.45 and 105.32

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Solution

The fourth proportional to 131.64, 181.45 and 105.32 is: 145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.64 : 181.45 = 105.32 : x
  2. Step 2: Convert to fraction form
    131.64/181.45 = 105.32/x
  3. Step 3: Cross multiply
    131.64x = 181.45 × 105.32
  4. Step 4: Simplify right side
    131.64x = 19,110.50
  5. Step 5: Solve for x
    x = 19,110.50/131.64
  6. Step 6: Final answer
    x = 145.17

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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.