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Finding the Fourth Proportional to 66.09, 99.12 and 46.77

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Solution

The fourth proportional to 66.09, 99.12 and 46.77 is: 70.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.09 : 99.12 = 46.77 : x
  2. Step 2: Convert to fraction form
    66.09/99.12 = 46.77/x
  3. Step 3: Cross multiply
    66.09x = 99.12 × 46.77
  4. Step 4: Simplify right side
    66.09x = 4,635.90
  5. Step 5: Solve for x
    x = 4,635.90/66.09
  6. Step 6: Final answer
    x = 70.15

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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.