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Finding the Fourth Proportional to 90.07, 124.31 and 53.23

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Solution

The fourth proportional to 90.07, 124.31 and 53.23 is: 73.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.07 : 124.31 = 53.23 : x
  2. Step 2: Convert to fraction form
    90.07/124.31 = 53.23/x
  3. Step 3: Cross multiply
    90.07x = 124.31 × 53.23
  4. Step 4: Simplify right side
    90.07x = 6,616.64
  5. Step 5: Solve for x
    x = 6,616.64/90.07
  6. Step 6: Final answer
    x = 73.46

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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.