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Finding the Fourth Proportional to 66.07, 99.00 and 46.77

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Solution

The fourth proportional to 66.07, 99.00 and 46.77 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.07 : 99.00 = 46.77 : x
  2. Step 2: Convert to fraction form
    66.07/99.00 = 46.77/x
  3. Step 3: Cross multiply
    66.07x = 99.00 × 46.77
  4. Step 4: Simplify right side
    66.07x = 4,630.05
  5. Step 5: Solve for x
    x = 4,630.05/66.07
  6. Step 6: Final answer
    x = 70.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.