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Finding the Fourth Proportional to 66.86, 99.65 and 65.03

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Solution

The fourth proportional to 66.86, 99.65 and 65.03 is: 96.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.86 : 99.65 = 65.03 : x
  2. Step 2: Convert to fraction form
    66.86/99.65 = 65.03/x
  3. Step 3: Cross multiply
    66.86x = 99.65 × 65.03
  4. Step 4: Simplify right side
    66.86x = 6,479.66
  5. Step 5: Solve for x
    x = 6,479.66/66.86
  6. Step 6: Final answer
    x = 96.92

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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.