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Finding the Fourth Proportional to 71.84, 99.04 and 64.56

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Solution

The fourth proportional to 71.84, 99.04 and 64.56 is: 89.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.84 : 99.04 = 64.56 : x
  2. Step 2: Convert to fraction form
    71.84/99.04 = 64.56/x
  3. Step 3: Cross multiply
    71.84x = 99.04 × 64.56
  4. Step 4: Simplify right side
    71.84x = 6,394.02
  5. Step 5: Solve for x
    x = 6,394.02/71.84
  6. Step 6: Final answer
    x = 89.00

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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.