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Finding the Fourth Proportional to 60.07, 82.83 and 46.93

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Solution

The fourth proportional to 60.07, 82.83 and 46.93 is: 64.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.07 : 82.83 = 46.93 : x
  2. Step 2: Convert to fraction form
    60.07/82.83 = 46.93/x
  3. Step 3: Cross multiply
    60.07x = 82.83 × 46.93
  4. Step 4: Simplify right side
    60.07x = 3,887.32
  5. Step 5: Solve for x
    x = 3,887.32/60.07
  6. Step 6: Final answer
    x = 64.72

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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.