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Finding the Fourth Proportional to 90.31, 124.64 and 51.50

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Solution

The fourth proportional to 90.31, 124.64 and 51.50 is: 71.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.31 : 124.64 = 51.50 : x
  2. Step 2: Convert to fraction form
    90.31/124.64 = 51.50/x
  3. Step 3: Cross multiply
    90.31x = 124.64 × 51.50
  4. Step 4: Simplify right side
    90.31x = 6,418.96
  5. Step 5: Solve for x
    x = 6,418.96/90.31
  6. Step 6: Final answer
    x = 71.08

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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.