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Finding the Fourth Proportional to 90.61, 135.78 and 47.23

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Solution

The fourth proportional to 90.61, 135.78 and 47.23 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.61 : 135.78 = 47.23 : x
  2. Step 2: Convert to fraction form
    90.61/135.78 = 47.23/x
  3. Step 3: Cross multiply
    90.61x = 135.78 × 47.23
  4. Step 4: Simplify right side
    90.61x = 6,412.89
  5. Step 5: Solve for x
    x = 6,412.89/90.61
  6. Step 6: Final answer
    x = 70.77

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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.