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Finding the Fourth Proportional to 61.76, 93.02 and 49.88

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Solution

The fourth proportional to 61.76, 93.02 and 49.88 is: 75.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 93.02 = 49.88 : x
  2. Step 2: Convert to fraction form
    61.76/93.02 = 49.88/x
  3. Step 3: Cross multiply
    61.76x = 93.02 × 49.88
  4. Step 4: Simplify right side
    61.76x = 4,639.84
  5. Step 5: Solve for x
    x = 4,639.84/61.76
  6. Step 6: Final answer
    x = 75.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.