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Finding the Fourth Proportional to 48.04, 71.53 and 47.69

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Solution

The fourth proportional to 48.04, 71.53 and 47.69 is: 71.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.04 : 71.53 = 47.69 : x
  2. Step 2: Convert to fraction form
    48.04/71.53 = 47.69/x
  3. Step 3: Cross multiply
    48.04x = 71.53 × 47.69
  4. Step 4: Simplify right side
    48.04x = 3,411.33
  5. Step 5: Solve for x
    x = 3,411.33/48.04
  6. Step 6: Final answer
    x = 71.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.