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Finding the Fourth Proportional to 101.16, 150.85 and 95.60

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Solution

The fourth proportional to 101.16, 150.85 and 95.60 is: 142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 150.85 = 95.60 : x
  2. Step 2: Convert to fraction form
    101.16/150.85 = 95.60/x
  3. Step 3: Cross multiply
    101.16x = 150.85 × 95.60
  4. Step 4: Simplify right side
    101.16x = 14,421.88
  5. Step 5: Solve for x
    x = 14,421.88/101.16
  6. Step 6: Final answer
    x = 142.57

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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.