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Finding the Fourth Proportional to 130.51, 179.96 and 112.15

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Solution

The fourth proportional to 130.51, 179.96 and 112.15 is: 154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 179.96 = 112.15 : x
  2. Step 2: Convert to fraction form
    130.51/179.96 = 112.15/x
  3. Step 3: Cross multiply
    130.51x = 179.96 × 112.15
  4. Step 4: Simplify right side
    130.51x = 20,181.89
  5. Step 5: Solve for x
    x = 20,181.89/130.51
  6. Step 6: Final answer
    x = 154.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.