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Finding the Fourth Proportional to 101.64, 151.90 and 75.98

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Solution

The fourth proportional to 101.64, 151.90 and 75.98 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.64 : 151.90 = 75.98 : x
  2. Step 2: Convert to fraction form
    101.64/151.90 = 75.98/x
  3. Step 3: Cross multiply
    101.64x = 151.90 × 75.98
  4. Step 4: Simplify right side
    101.64x = 11,541.36
  5. Step 5: Solve for x
    x = 11,541.36/101.64
  6. Step 6: Final answer
    x = 113.55

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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.