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Finding the Fourth Proportional to 47.42, 65.40 and 29.93

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Solution

The fourth proportional to 47.42, 65.40 and 29.93 is: 41.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.42 : 65.40 = 29.93 : x
  2. Step 2: Convert to fraction form
    47.42/65.40 = 29.93/x
  3. Step 3: Cross multiply
    47.42x = 65.40 × 29.93
  4. Step 4: Simplify right side
    47.42x = 1,956.98
  5. Step 5: Solve for x
    x = 1,956.98/47.42
  6. Step 6: Final answer
    x = 41.27

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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.