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Finding the Fourth Proportional to 96.48, 145.40 and 95.64

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Solution

The fourth proportional to 96.48, 145.40 and 95.64 is: 144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.48 : 145.40 = 95.64 : x
  2. Step 2: Convert to fraction form
    96.48/145.40 = 95.64/x
  3. Step 3: Cross multiply
    96.48x = 145.40 × 95.64
  4. Step 4: Simplify right side
    96.48x = 13,906.06
  5. Step 5: Solve for x
    x = 13,906.06/96.48
  6. Step 6: Final answer
    x = 144.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.