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Finding the Fourth Proportional to 65.62, 90.59 and 42.00

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Solution

The fourth proportional to 65.62, 90.59 and 42.00 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.62 : 90.59 = 42.00 : x
  2. Step 2: Convert to fraction form
    65.62/90.59 = 42.00/x
  3. Step 3: Cross multiply
    65.62x = 90.59 × 42.00
  4. Step 4: Simplify right side
    65.62x = 3,804.98
  5. Step 5: Solve for x
    x = 3,804.98/65.62
  6. Step 6: Final answer
    x = 57.98

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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.