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Finding the Fourth Proportional to 130.99, 197.24 and 96.99

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Solution

The fourth proportional to 130.99, 197.24 and 96.99 is: 146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.99 : 197.24 = 96.99 : x
  2. Step 2: Convert to fraction form
    130.99/197.24 = 96.99/x
  3. Step 3: Cross multiply
    130.99x = 197.24 × 96.99
  4. Step 4: Simplify right side
    130.99x = 19,129.32
  5. Step 5: Solve for x
    x = 19,129.32/130.99
  6. Step 6: Final answer
    x = 146.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.