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Finding the Fourth Proportional to 150.71, 207.65 and 101.50

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Solution

The fourth proportional to 150.71, 207.65 and 101.50 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.71 : 207.65 = 101.50 : x
  2. Step 2: Convert to fraction form
    150.71/207.65 = 101.50/x
  3. Step 3: Cross multiply
    150.71x = 207.65 × 101.50
  4. Step 4: Simplify right side
    150.71x = 21,076.21
  5. Step 5: Solve for x
    x = 21,076.21/150.71
  6. Step 6: Final answer
    x = 139.85

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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.