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Finding the Fourth Proportional to 130.01, 194.86 and 56.87

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Solution

The fourth proportional to 130.01, 194.86 and 56.87 is: 85.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.01 : 194.86 = 56.87 : x
  2. Step 2: Convert to fraction form
    130.01/194.86 = 56.87/x
  3. Step 3: Cross multiply
    130.01x = 194.86 × 56.87
  4. Step 4: Simplify right side
    130.01x = 11,080.43
  5. Step 5: Solve for x
    x = 11,080.43/130.01
  6. Step 6: Final answer
    x = 85.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.