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Finding the Fourth Proportional to 48.30, 65.88 and 47.52

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Solution

The fourth proportional to 48.30, 65.88 and 47.52 is: 64.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.30 : 65.88 = 47.52 : x
  2. Step 2: Convert to fraction form
    48.30/65.88 = 47.52/x
  3. Step 3: Cross multiply
    48.30x = 65.88 × 47.52
  4. Step 4: Simplify right side
    48.30x = 3,130.62
  5. Step 5: Solve for x
    x = 3,130.62/48.30
  6. Step 6: Final answer
    x = 64.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.