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Finding the Fourth Proportional to 131.58, 181.56 and 73.34

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Solution

The fourth proportional to 131.58, 181.56 and 73.34 is: 101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.58 : 181.56 = 73.34 : x
  2. Step 2: Convert to fraction form
    131.58/181.56 = 73.34/x
  3. Step 3: Cross multiply
    131.58x = 181.56 × 73.34
  4. Step 4: Simplify right side
    131.58x = 13,315.61
  5. Step 5: Solve for x
    x = 13,315.61/131.58
  6. Step 6: Final answer
    x = 101.20

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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.