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Finding the Fourth Proportional to 130.34, 194.63 and 116.54

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Solution

The fourth proportional to 130.34, 194.63 and 116.54 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 194.63 = 116.54 : x
  2. Step 2: Convert to fraction form
    130.34/194.63 = 116.54/x
  3. Step 3: Cross multiply
    130.34x = 194.63 × 116.54
  4. Step 4: Simplify right side
    130.34x = 22,681.60
  5. Step 5: Solve for x
    x = 22,681.60/130.34
  6. Step 6: Final answer
    x = 174.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.