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Finding the Fourth Proportional to 130.25, 179.64 and 86.51

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Solution

The fourth proportional to 130.25, 179.64 and 86.51 is: 119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 179.64 = 86.51 : x
  2. Step 2: Convert to fraction form
    130.25/179.64 = 86.51/x
  3. Step 3: Cross multiply
    130.25x = 179.64 × 86.51
  4. Step 4: Simplify right side
    130.25x = 15,539.76
  5. Step 5: Solve for x
    x = 15,539.76/130.25
  6. Step 6: Final answer
    x = 119.31

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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.