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Finding the Fourth Proportional to 65.10, 89.93 and 46.64

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Solution

The fourth proportional to 65.10, 89.93 and 46.64 is: 64.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.93 = 46.64 : x
  2. Step 2: Convert to fraction form
    65.10/89.93 = 46.64/x
  3. Step 3: Cross multiply
    65.10x = 89.93 × 46.64
  4. Step 4: Simplify right side
    65.10x = 4,193.65
  5. Step 5: Solve for x
    x = 4,193.65/65.10
  6. Step 6: Final answer
    x = 64.42

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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.