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Finding the Fourth Proportional to 49.02, 73.64 and 26.23

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Solution

The fourth proportional to 49.02, 73.64 and 26.23 is: 39.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.02 : 73.64 = 26.23 : x
  2. Step 2: Convert to fraction form
    49.02/73.64 = 26.23/x
  3. Step 3: Cross multiply
    49.02x = 73.64 × 26.23
  4. Step 4: Simplify right side
    49.02x = 1,931.58
  5. Step 5: Solve for x
    x = 1,931.58/49.02
  6. Step 6: Final answer
    x = 39.40

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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.