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Finding the Fourth Proportional to 130.95, 180.47 and 116.02

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Solution

The fourth proportional to 130.95, 180.47 and 116.02 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.95 : 180.47 = 116.02 : x
  2. Step 2: Convert to fraction form
    130.95/180.47 = 116.02/x
  3. Step 3: Cross multiply
    130.95x = 180.47 × 116.02
  4. Step 4: Simplify right side
    130.95x = 20,937.23
  5. Step 5: Solve for x
    x = 20,937.23/130.95
  6. Step 6: Final answer
    x = 159.89

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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.