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Finding the Fourth Proportional to 65.02, 89.81 and 46.58

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Solution

The fourth proportional to 65.02, 89.81 and 46.58 is: 64.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 89.81 = 46.58 : x
  2. Step 2: Convert to fraction form
    65.02/89.81 = 46.58/x
  3. Step 3: Cross multiply
    65.02x = 89.81 × 46.58
  4. Step 4: Simplify right side
    65.02x = 4,182.84
  5. Step 5: Solve for x
    x = 4,182.84/65.02
  6. Step 6: Final answer
    x = 64.33

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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.