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Finding the Fourth Proportional to 130, 193.70 and 128.72

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Solution

The fourth proportional to 130, 193.70 and 128.72 is: 191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 193.70 = 128.72 : x
  2. Step 2: Convert to fraction form
    130/193.70 = 128.72/x
  3. Step 3: Cross multiply
    130x = 193.70 × 128.72
  4. Step 4: Simplify right side
    130x = 24,933.06
  5. Step 5: Solve for x
    x = 24,933.06/130
  6. Step 6: Final answer
    x = 191.79

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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.