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Finding the Fourth Proportional to 90.35, 124.69 and 53.53

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Solution

The fourth proportional to 90.35, 124.69 and 53.53 is: 73.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.35 : 124.69 = 53.53 : x
  2. Step 2: Convert to fraction form
    90.35/124.69 = 53.53/x
  3. Step 3: Cross multiply
    90.35x = 124.69 × 53.53
  4. Step 4: Simplify right side
    90.35x = 6,673.76
  5. Step 5: Solve for x
    x = 6,673.76/90.35
  6. Step 6: Final answer
    x = 73.87

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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.