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Finding the Fourth Proportional to 130.30, 179.78 and 93.53

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Solution

The fourth proportional to 130.30, 179.78 and 93.53 is: 129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.30 : 179.78 = 93.53 : x
  2. Step 2: Convert to fraction form
    130.30/179.78 = 93.53/x
  3. Step 3: Cross multiply
    130.30x = 179.78 × 93.53
  4. Step 4: Simplify right side
    130.30x = 16,814.81
  5. Step 5: Solve for x
    x = 16,814.81/130.30
  6. Step 6: Final answer
    x = 129.05

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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.