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Finding the Fourth Proportional to 130.48, 180.02 and 77.99

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Solution

The fourth proportional to 130.48, 180.02 and 77.99 is: 107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.48 : 180.02 = 77.99 : x
  2. Step 2: Convert to fraction form
    130.48/180.02 = 77.99/x
  3. Step 3: Cross multiply
    130.48x = 180.02 × 77.99
  4. Step 4: Simplify right side
    130.48x = 14,039.05
  5. Step 5: Solve for x
    x = 14,039.05/130.48
  6. Step 6: Final answer
    x = 107.60

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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.