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Finding the Fourth Proportional to 65.42, 97.93 and 45.09

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Solution

The fourth proportional to 65.42, 97.93 and 45.09 is: 67.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 97.93 = 45.09 : x
  2. Step 2: Convert to fraction form
    65.42/97.93 = 45.09/x
  3. Step 3: Cross multiply
    65.42x = 97.93 × 45.09
  4. Step 4: Simplify right side
    65.42x = 4,415.55
  5. Step 5: Solve for x
    x = 4,415.55/65.42
  6. Step 6: Final answer
    x = 67.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.