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Finding the Fourth Proportional to 58.02, 79.85 and 46.32

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Solution

The fourth proportional to 58.02, 79.85 and 46.32 is: 63.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.02 : 79.85 = 46.32 : x
  2. Step 2: Convert to fraction form
    58.02/79.85 = 46.32/x
  3. Step 3: Cross multiply
    58.02x = 79.85 × 46.32
  4. Step 4: Simplify right side
    58.02x = 3,698.54
  5. Step 5: Solve for x
    x = 3,698.54/58.02
  6. Step 6: Final answer
    x = 63.75

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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.