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Finding the Fourth Proportional to 105.53, 145.87 and 97.02

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Solution

The fourth proportional to 105.53, 145.87 and 97.02 is: 134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.53 : 145.87 = 97.02 : x
  2. Step 2: Convert to fraction form
    105.53/145.87 = 97.02/x
  3. Step 3: Cross multiply
    105.53x = 145.87 × 97.02
  4. Step 4: Simplify right side
    105.53x = 14,152.06
  5. Step 5: Solve for x
    x = 14,152.06/105.53
  6. Step 6: Final answer
    x = 134.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.