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Finding the Fourth Proportional to 95.64, 142.47 and 91.05

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Solution

The fourth proportional to 95.64, 142.47 and 91.05 is: 135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.64 : 142.47 = 91.05 : x
  2. Step 2: Convert to fraction form
    95.64/142.47 = 91.05/x
  3. Step 3: Cross multiply
    95.64x = 142.47 × 91.05
  4. Step 4: Simplify right side
    95.64x = 12,971.89
  5. Step 5: Solve for x
    x = 12,971.89/95.64
  6. Step 6: Final answer
    x = 135.63

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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.