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Finding the Fourth Proportional to 68.10, 93.74 and 65.45

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Solution

The fourth proportional to 68.10, 93.74 and 65.45 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.10 : 93.74 = 65.45 : x
  2. Step 2: Convert to fraction form
    68.10/93.74 = 65.45/x
  3. Step 3: Cross multiply
    68.10x = 93.74 × 65.45
  4. Step 4: Simplify right side
    68.10x = 6,134.49
  5. Step 5: Solve for x
    x = 6,134.49/68.10
  6. Step 6: Final answer
    x = 90.08

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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.