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Finding the Fourth Proportional to 130.71, 180.30 and 95.70

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Solution

The fourth proportional to 130.71, 180.30 and 95.70 is: 132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.71 : 180.30 = 95.70 : x
  2. Step 2: Convert to fraction form
    130.71/180.30 = 95.70/x
  3. Step 3: Cross multiply
    130.71x = 180.30 × 95.70
  4. Step 4: Simplify right side
    130.71x = 17,254.71
  5. Step 5: Solve for x
    x = 17,254.71/130.71
  6. Step 6: Final answer
    x = 132.01

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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.