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Finding the Fourth Proportional to 157.94, 218.00 and 95.76

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Solution

The fourth proportional to 157.94, 218.00 and 95.76 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.94 : 218.00 = 95.76 : x
  2. Step 2: Convert to fraction form
    157.94/218.00 = 95.76/x
  3. Step 3: Cross multiply
    157.94x = 218.00 × 95.76
  4. Step 4: Simplify right side
    157.94x = 20,875.20
  5. Step 5: Solve for x
    x = 20,875.20/157.94
  6. Step 6: Final answer
    x = 132.18

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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.