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Finding the Fourth Proportional to 64.04, 95.59 and 55.08

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Solution

The fourth proportional to 64.04, 95.59 and 55.08 is: 82.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.04 : 95.59 = 55.08 : x
  2. Step 2: Convert to fraction form
    64.04/95.59 = 55.08/x
  3. Step 3: Cross multiply
    64.04x = 95.59 × 55.08
  4. Step 4: Simplify right side
    64.04x = 5,265.10
  5. Step 5: Solve for x
    x = 5,265.10/64.04
  6. Step 6: Final answer
    x = 82.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.