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Finding the Fourth Proportional to 68.02, 93.76 and 65.32

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Solution

The fourth proportional to 68.02, 93.76 and 65.32 is: 90.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.02 : 93.76 = 65.32 : x
  2. Step 2: Convert to fraction form
    68.02/93.76 = 65.32/x
  3. Step 3: Cross multiply
    68.02x = 93.76 × 65.32
  4. Step 4: Simplify right side
    68.02x = 6,124.40
  5. Step 5: Solve for x
    x = 6,124.40/68.02
  6. Step 6: Final answer
    x = 90.04

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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.