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Finding the Fourth Proportional to 101.65, 151.64 and 94

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Solution

The fourth proportional to 101.65, 151.64 and 94 is: 140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.65 : 151.64 = 94 : x
  2. Step 2: Convert to fraction form
    101.65/151.64 = 94/x
  3. Step 3: Cross multiply
    101.65x = 151.64 × 94
  4. Step 4: Simplify right side
    101.65x = 14,254.16
  5. Step 5: Solve for x
    x = 14,254.16/101.65
  6. Step 6: Final answer
    x = 140.23

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Why These Related Problems?

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